PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)

PLEASE HELP ASAPA Helicopter Hovers 500 Feetabove A Small Island. Thefigure Shows That The Angle Ofdepression

Answers

Answer 1

Answer:

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:

[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]

Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:

[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]

Multiply both sides by 500 to isolate [tex]d[/tex]:

[tex]500*tan(42)=d\\450=d[/tex]

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!


Related Questions

NEED HELP ASAP
Given the parent functions f(x) = 3x + 2 and g(x) = 5x – 10, what is g(x) – f(x)?

Answers

Answer:

2x - 12

Step-by-step explanation:

that is the procedure above

The tables show two functions evaluated for the given
values of x.
Which table shows the values of the combined
function determined by dividing g(x) by f(x)?
Х
f(x)
-8
-6
-4
-2
4
6
8
10
8.
O
X
g(x)
f(x)
-4
1
5
4
1
3
-
1
7
Х
g(x)
-8
54
-4
10
4
18
8
70
ܗ | ܗ | ܗܙ ܚܕܐ ܗ
х
4
8
O
g(x)
f(x)
5
-3
-7
-8
-4
4
8
o
х
g(x)
f(x)
-9
-5
3
7
-8
4
O
х
g(x)
f(x)
oi |
4
1
5
1
3
8
1
7

Answers

Answer:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

Step-by-step explanation:

Given

The attached tables of f(x) and g(x)

Required

A new table

For both tables, the x-values are the same.

So, the new table is as follows:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values

After the division, we have:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).

How to find the correct table?

We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).

To do this, let's find each value of that quotient and see which table contains them.

for x = -8 we have:

f(-8) = -6g(-8) = 54.

Then the quotient is:

g(-8)/f(-8) = 54/-6 = -9

There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

find the missing side. Round it to the nearest tenth.​

Answers

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

solve the inequality 4x ( 4 - x ) > 7​

Answers

Answer:

First, subtract

7

from each side of the inequality to isolate the

x

term while keeping the inequality balanced:

1

4

x

+

7

7

>

0

7

1

4

x

+

0

>

7

1

4

x

>

7

Now, multiply each side of the inequality by

4

to solve for

x

while keeping the inequality balanced:

4

×

1

4

x

>

4

×

7

4

4

x

>

28

1

x

>

28

x

>

28

Answer:

1/2 < x < 7/2

Step-by-step explanation:

First, simplify then put everything on one side: 16x -4x^2 -7 > 0

Then use the quadratic formula to factor and find out x.

For a quadratic equation in the form of ax^2 + bx + c = 0, use this formula:

X (1,2) = (-b ± √(b^2 -4ac))/2a

(The X (1,2) part means that there are 2 solutions for x)

In this case, a is -4, b is 16, and c is -7. By using this formula, you get that x=1/2, x=7/2

Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.

Answers

Answer:

Tanya is reflect y axis and then 90 degrees.  

Kurt is reflect over y=x

Have an amazing day! Hope This Helps :)

Can anyone help me with this question

Answers

Answer:

60

Step-by-step explanation:

A significant figure means the most important (biggest) number.

As it just wants 1 significant figure, you count 1 to the right and round the 6 up.

Hope this helps :)

HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05


Answers

Answer:

D 26, 05

Step-by-step explanation:

(look at picture attached)

Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.

Answers

Answer:

4 1/3 of her hair

Step-by-step explanation:

Just add 2 1/6 + 2 1/6 and there you go

There is the total amount of her hair she cut

Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.

Answers

Answer:

I don't think so

Step-by-step explanation:

the length of the newspaper page=36cm

the advert will take 1/3 of the page=1/3*36=12

so the advert takes12 cm and he says it has to be 11 cm which is not right .

I hope this helps

While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42

Answers

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28

Answers

Answer:

12

Step-by-step explanation:

F(x)=x^2−2x+4

Let x = |-4| = 4

F(|-4|)=4^2−2(4)+4

     = 16 -8+4

    = 8+4

     = 12

Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Answers

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]

[tex]OA=BO(\sqrt{3})[/tex]

By applying tangent rule in the given right triangle BOC,

tan(60°) = [tex]\frac{OC}{BO}[/tex]

OC = BO(√3)

OA + OC = AC

[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = [tex]\frac{OD}{OC}[/tex]

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

one week gas was 1.25 per gallon the next week gas was 1.50 per GALLON by what percentage did the price increase

Answers

Answer:

Therefore, the price increased by 20%

Step-by-step explanation:

Initial price = 1.25

Final price = 1.50

so price increased = 1.50 - 1.25

= 0.25

so,

price increased% = (0.25/1.25) × 100%

= 0.2 × 100%

= 20%

solve for x
5x-10>20 or 5x-10≤ -15
A.-5≤x6
B. -1≤x<6
C. x≤-5or x>6
d. x≤-1 or x>6

Answers

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

Given the following coordinates complete the reflection transformation.​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

what is the lcm of two numbers if one number is a multiple of the other

Answers

If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).

What is the value of x in the equation 5x+3=4x?

Answers

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

Answer:

the answer for this would be -3

When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can

Answers

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)

A. 1.50

B. 1.60

C. 1.75

D. 2.50

E. 3.20

Answers

Let the original price = x

From X to get the new price you multiply by 1 + the percent of the increase which is 25%

1,25X = 2.00

Divide both sides by 1.25:

X = 1.60

The original price was B. 1.60

Answer:

x=1.60

Step-by-step explanation:

Let x be the original price

We increase by 25%

x+ .25x = new price

1.25x = 200

Divide each side by 1.25

x = 2.00/1.25

x=1.60

hi pls help. pls explain a bit:) thank you

Answers

Answer:

i think this is right i’m sorry if not :)

8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night

Answers

Step-by-step explanation:

Answer of your question is 800

PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)

Answers

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

You are heading to the LLN Casino for Spring Break and plan to play their world famous slot machine. The slot machine at the LLN Casino has three wheels that spin when you pull the lever. When pulled, each wheel spins and stops on one of the symbols. Assume that the outcome of each wheel is independent of the outcomes of the other 2 wheels. Each wheel has 10 equally likely symbols: 4 Skulls, 3 Lemons, 2 Cherries, and 1 Bell.If you play, what is the probability that:You get a Lemon, and a Cherry, and a Bell

Answers

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.

0.2239

-0.2237

0.2237

0.4951

Answers

Answer:

Step-by-step explanation:

We are looking for the probability that (-1.10 < z < -.36)

The z score for -1.10 = .13567 and

the z score for -.36 = .35942

To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%

How much should 5x³+3x²-2x+1 be increased to get 6x² +7​

Answers

Answer:

-5x³ + 3x³ + 2x + 6

Step-by-step explanation:

if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :

what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?

the answer is

6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =

= -5x³ + 3x³ + 2x + 6

Select whether each equation has no solution, one solution, or infinitely many solutions. No Solution One Solution Infinitely Many Solutions
7x + 14 = 14 x + 7
5 x + 8 = 8 + 5 x
9x = 9 x + 5 17. ​

Answers

Answer:

Step-by-step explanation:

7x + 14 = 14 x + 7

-7x = -7

x = 1 (one solution)

~~~~~~~~~~~~~~~~~

5 x + 8 = 8 + 5 x

0 =0 (infinite solutions)

~~~~~~~~~~~~~~~~

9x = 9 x + 5 17

0 = 517 (no solution)

-2 (x+5):4
Pliss es para hoy

Answers

I don't know how you want it solved but, I am giving u -2 I hope this helps

What is 55 increased by 10%?

Answers

Answer:

10% of 55

=> 10/100 × 55

=> 1/10×55

=> 5.5

55 increased by 10% => 55 + 5.5

=> 60.5

hope that helps ✌

Answer:

Step-by-step explanation:

10% of 55

10/100*55

1/10*55

5.5 <--- That is 10% of 55

55+5.5 = 60.5

Someone please explain this to me like you would a child
thank you

Answers

Answer:

12 degrees

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

okay haha

so basically the cosine of an angle is the side adjacent to it, divided by the hypotenuse. the sine is the side opposite to that angle divided by the hypotenuse, and the tangent is the side opposite to that angle divided by the side adjacent to it.

in this case we are given the angle and the side opposite to it which is 10, and we are also given the hypotenuse of 39.

what trig function deals with opposite and hypotenuse?

the answer is sine

so we would find the sine of that angle which equals to opposite over hypotenuse:

sin(angle) = 10/39

but, they are asking for the inverse trig function. the inverse of sine is arcsin.

so :

arcsin(10/39) = angle

in a calculator, this would be equal to about 14.857 which is closest to 15.

HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4

Answers

Answer:

Step-by-step explanation:

I'm pretty sure its b

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