From a point P, a boy observe that the angle of elevation of the top of a pole is 45, if the height of the
pole is 15 m, find the distance of P from the foot of the pole.

Please help

Answers

Answer 1

Answer:

15m

Step-by-step explanation:

The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m


Related Questions

-3x^2+6x+9=
WHY JUST WHY !!!! ?

Answers

Oh, my, goodness!!!!!! :)

You are cracking me up so much right now!!!!! :)

But, yeah, I hear ya! :)

Answer:

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

(x⁵-9x³+7x)+(x³-x⁵-7-x)

Answers

Answer: -8x^3 - x - 7

Answer:

First open parenthesis:

x^5-9x^3+7x+x^3-x^5-7-x

-8x^3+6x-7

[tex]-8x^{3} +6x-7[/tex]

pls help this is due in 20 min pls help.​

Answers

Answer:

32 2/5

Step-by-step explanation:

Twice of the width is 10 4/5

So 10 4/5 plus 5 2/5 is 16 1/5

Then you add it to 16 1/5 because it is the perimeter and it has the same sides

Answer:

4.   [tex]32 \frac{2}{5}[/tex]

Step-by-step explanation:

so the formula for perimeter is l + l + w + w

the width is 5 2/5 and the length is 5 2/5 * 2

that means the length is 10 4/5

so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]

simplified is  10 4/5 + 20 8/5

simplified is 30 12/5

simplified is [tex]32 \frac{2}{5}[/tex]

x f(x)
--------

-3 -18

-2 -4

-1 0

0 0

1 2

2 12

3 36


What is the degree of the polynomial represented in the table?



4


5


2


3

Answers

Answer:

I think that the answer is 4

PLEASE ANSWER ASAPPP
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.

7 x + 12 y = 54. 5 x + 10 y = 60.


Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.

Answers

Answer:

1, 2, 3, 4

Step-by-step explanation:

1) works 60y+(-60y)=0

2) works(-60y)+60y=0

3)works (-35x)+35x=0

4) works 35x+(-35x)=0

5) doesn't work (-35x)+100x doesn't equal 0

Answer:

1,2,3,4

Step-by-step explanation:

find the area of the shaded part of the figure below

Answers

Answer:

70

Step-by-step explanation:

Answer:

70 cm^2

Step-by-step explanation:

Multiply (20x8)/2 to find the area of the triangle.  Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.

What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *

Answers

Answer:

A =141.4875

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 16.17 * 8.75

A =141.4875

Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?

Answers

The statement that most adequately recounts the change in the average of the team's no. of points per game would be:

A). The new mean is greater than the previous mean.

Given,

[tex]Mean = 94[/tex]

Now,

The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]

New mean = (sum of observations)/No. of observations

[tex]= 1015/10[/tex]

= [tex]101.5[/tex]

Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.

Thus, option A is the correct answer.

Learn more about "Distribution" here:

brainly.com/question/15387239

What is the leading coefficient and constant of this problem?

(8

Answers

2/7*3/8>3/8 because 2/7>1

Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:

Answers

Answer:

Look at the underlined numbers

So we have 16 = 16*1

then 64 = 16*4

the difference would be 3

then 144 = 16*9

the difference would be 5

256 = 16*16

the difference would be 7

400 = 16*25

the difference would be 9

so the next one would be 11+25=

3, 5, 7, 9, 11

ANSWER: 16*(11+25) = 36*16 = 576

Step-by-step explanation:

I explained before this

The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?

Answers

Answer:

See picture attached

Step-by-step explanation:

The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:

62: once

63: twice

64: three times

65: twice

66: twice

Those are the numbers of dots you have to put over each height.

Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?

Answers

Answer:

7

Step-by-step explanation:

10-3=7

If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost?

Question 10 options:

a)

$37.75


b)

$29.75


c)

$0.16


d)

$47.60

Answers

Answer:
d) $47.60

Explanation:
Step 1 - Find out the cost per sandwich by dividing the cost of five sandwiches by five.

29.75 / 5 = 5.95

Each sandwich costs $5.95.

Step 2 - Find out how much eight sandwiches will cost by multiplying the cost of one sandwich by eight.

5.95 • 8 = 47.60

Eight sandwiches will cost $47.60.

x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.

Answers

Answer:

11

Step-by-step explanation:

11

11 is the answer to the question

Solve |2x + 6|<16

A {x|-11 B {x<-11 or x>5}
C {x|-5

Answers

It’s the last one. .

the points scored per game by a professional basketball player are represented by the box plot below if the player scores 9 points and 35 points in the next two games how is the median of the data set affected

Answers

Answer:

The median points per game is not affected.

Step-by-step explanation:

Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.

The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.

Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.

ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer:

FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

What is the slope of the line described by the equation below?
y- 5= -3(x - 17)
O A. -3
B. 3
O c. 5
OD. -5
Hellppp

Answers

A.) the slope is -3 this is because you needed to distribute first making -3 combine with x making it the slope,, the equation end product would be y=-3x-46

how many different measurements are found in this diagram ¿

Answers

There are 8 different measurements.
Just to make sure of things there are 8 labeled angles but there are different ones for example 7 and 3 are equal.

Which means that there are 2 different angle measurements 1,4,7 and 8 are equal then 2,3,5 and 6 are also equal


Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.

Basically I need to find a function based off Inputs & Outputs. (If that makes sense).

Answers

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.

Answers

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft

Answers

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

What is the ratio of sin?

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

To learn more about the angle of elevation visit:

https://brainly.com/question/88158

#SPJ5

I’m also stuck on this .

Answers

Answer:

It's given that AB = AC and BN = NC. Also, AN = NA because of the reflexive property. So the answer to the blank is congruent. (This is because of the SSS principle.)

Answer:

bardikikinouko is the answer

Step-by-step explanation:

The volume of this rectangular prism is 6x2. What does the coefficient 6
mean in terms of the problem?
height = x
width = X
length = 6x
o
A. The length of the prism is 6 units.
B. The total volume of the prism is 6 cubic units.
O
C. The length is 6 times the width.
D. The width is 6 times the height and the length.

Answers

Answer:

C

Step-by-step explanation:

The length is 6 times the width.

6 times x is 6x

You are welcome and don't for get to click THANKS

Answer: C

Step-by-step explanation:

Can someone help me with this please!!!

Answers

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

Which phrase describes a model in science?

a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object

Answers

The correct answer is B. A structure that is used to represent a complex system

Explanation:

A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"

Answer:

B. a structure that is used to represent a complex system

Step-by-step explanation:

just did the quiz on ed

A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused

Answers

Answer:

2 inches

Step-by-step explanation:

Answer:

2 inches each

Step-by-step explanation:

1 foot = 12 inches

1/3 of 12 =4

left over :12 - 4 = 8

8/4 =2

Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.

Answers

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13

Answers

Answer:

[tex]3y - 2x = 13[/tex]

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]

[tex]m = \frac{7 + 5}{4 + 14}[/tex]

[tex]m = \frac{12}{18}[/tex]

Simplify fraction to lowest term

[tex]m = \frac{6*2}{6*3}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]

We have

[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]

[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]

Multiply both sides by 3

[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{3(y+5)}{x+14}[/tex]

Multiply both sides by x + 14

[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]

[tex]2 * (x + 14) = 3(y+5)[/tex]

Open brackets

[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]

[tex]2x + 28 = 3y+ 15[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]

[tex]28 = 3y+ 15 - 2x[/tex]

Subtract 15 from both sides

[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]

[tex]28 - 15 = 3y - 2x + 15- 15[/tex]

[tex]13 = 3y - 2x[/tex]

Reorder

[tex]3y - 2x = 13[/tex]

Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10

Answers

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

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