A 254-foot tall radio tower is located partway between a building and a tree. The angle of elevation from the base of the building to the top of the tower is 36°, and the angle of elevation from the base of the tree to the top of the tower is 62°.

Answers

Answer 1

Answer:  here's your answer

485 ft

Step-by-step explanation:

step 1

Find the distance from the base of the building to the base of the radio tower

Let

x -----> the distance from the base of the building to the base of the radio

we know that

tan(36°)=254/x

x=254/tan(36°)=349.60 ft

step 2

Find the distance from the base of the tree to the base of the radio tower

Let

x -----> the distance from the base of the tree to the base of the radio tower  

we know that

tan(62°)=254/x

x=254/tan(62°)=135.05 ft

step 3

Find the distance from the base of the building to the base of the tree

Adds the distances

349.60 ft+135.05 ft=484.65 ft

Round to the nearest foot

484.65 ft=485 ft


Related Questions

a jar contains 6 red jelly beans, 6 green beans, and 6 blue jelly beans if we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be green and the second will be green as well

Answers

Answer: 5/51

======================================================

Explanation:

We have 6 green out of 6+6+6 = 18 total

The probability of getting green is 6/18 = 1/3.

After selecting that green jelly bean and not putting it back, we have 6-1 = 5 green out of 18-1 = 17 total.

The probability of selecting another green is 5/17.

Multiply the two fractions 1/3 and 5/17

(1/3)*(5/17) = (1*5)/(3*17) = 5/51

The probability of selecting two greens in a row is 5/51 where we do not put the first selection back. We also do not replace the green jelly bean with some other identical copy.

Note: 5/51 = 0.098039 approximately

Answer:

The answer is your face try again loser

Step-by-step explanation:

—4 + 5 — 7 = 10 + 3х – 2х

Answers

Answer:

X= -4.66666667 or 5 when rounded to the nearest whole number.

Step-by-step explanation:

-4+5-7=10+3x-2

-11+5=8+3x

-6=8+3x

-6-8=8-8+3x

-14=3x

X= -4.66666667 or 5 when rounded to the nearest whole number.

10% of electric light bulbs are defective at manufacturer. A random sample of 8 light bulbs are chosen and tested. Find the probability that at least 3 are defective.

Answers

Answer:

0.0381

Step-by-step explanation:

This is a binomial probability distribution problem. Thus;

p = 10% = 0.1

We are told that A random sample of 8 light bulbs are chosen and tested. Thus, n = 8

We want to find the probability that at least 3 are defective. This will be;

P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8)

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Thus;

P(3) = C(8, 3) × 0.1³ × (1 - 0.1)^(8 - 3)

P(3) = C(8, 3) × 0.1³ × 0.9^(5)

P(3) = 0.03306744

Repeating this same procedure, we have;

P(4) = 0.0045927

P(5) = 0.00040824

P(6) = 0.00002268

P(7) = 0.00000072

P(8) = 0.00000001

Thus;

P(X ≥ 3) = 0.03306744 + 0.0045927 + 0.00040824 + 0.00002268 + 0.00000072 + 0.00000001 = 0.03809179

Approximately 0.0381

2. u + 6y = 32
u+ 3y = 17​

Answers

Answer:

21

Step-by-step explanation:

I think I should be 21 also:)

Examine the quadratic equation LaTeX: 9x^2+12x+4=0

A: What is the discriminant of the quadratic equation?

B: Based on the discriminant, how many roots does the equation have?

C: State whether the root(s) are real or complex.

Be sure to answer all parts!

Answers

I hope the answer above is correct because I need this answer too. Was it ?

Help !

What can you conclude about DB?

Answers

DB bisects AC. The two dashes on either side of DB indicate that those segments are the same length.

BD bisect AC

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

FA is perpendicular to BC.

CFA is a right angle.

We see that BD bisects AC such that AD = CD.

Thus,

BD bisects AC

Learn more about triangles here:

https://brainly.com/question/25950519

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PLEASE HELP ASAP! Will Mark BRAINLEST

Answers

1) 7a: 7 times a number

2) 2a+3: 3 more than twice a number

3) 30d, 30 minutes times the number of days she practices.



If ABC is a right triangle with B the right angle, A=(-3,2) and B =(2,5), find possible
coordinates for C

Answers

Answer:

b

Step-by-step explanation:

jayson subtracted 38 from the product of 325 and 24 what is the difference

Answers

Answer:

263?

Step-by-step explanation:

Answer:

7762

Step-by-step explanation:

product of 325 and 24 is 7800 so 7800-28=7762

A group of workers can plant 7 1/2
acres in 3
1/8
days.
What is the unit rate in acres per day?
Write your answer as a fraction or a mixed number in simplest form.

Answers

7 1/2 divided by 3 1/8= 2 2/5 acres per day

In parallelogram , ABCD ∠A has a measure of 62° . Find the measures of ∠B and ∠C.

Answers

Answer:

118

Step-by-step explanation:

If angle A is 62 degrees, then angle D is 62 degrees. 62+62=124, and 360-124 is 236 (360 is the total interior angles of any quadrilateral). Then, 236/2=118. You divide it by two because you are looking for angles B and C separately.

Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05 – 71x
0 √5 - 7x
O 7x – V5
07/2o 5

Answers

Answer:

if i am not mistaken i believe it is 0 √5 - 7x

Step-by-step explanation:

Jasmine really wants to make an A in her college math class. The class has 6 exam grades that make up the final grade. So far, she has made an 83, 94, 96, 85, and a 81. Is it possible for her to make an A in the class if the cut off for an is 90 and the highest possible grade on a test is 100?

Answers

Here’s how I would do this.

Multiply .90 (90 percent) by 600 (total points all semester) to see how many points she must earn. You’ll get 540.

Add the scores she’s got already and subtract from 540.

I get 439. She needs 540 and the most she could possibly make is 539.

So no...unless her teacher rounds. :)

A town's population went from 25,000 to 30,000. What was the percent of change? ( Please explain your answer )

Answers

20% increase. 30000-20000=5,000. Then divide 5000 by 25000 because it’s the original answer

I need help so please .

Answers

Answer:

78 m

Step-by-step explanation:

We need to use the Pythagorean theorem, [tex]a^{2} + b^{2} = c^{2}[/tex].

Substitute in [tex]a[/tex] and [tex]b[/tex].

[tex]30^{2} + 72^{2} = c^{2}[/tex]

Simplify.

[tex]900 + 5184 = c^{2}[/tex]

Add.

[tex]6084 = c^{2}[/tex]

Square root both sides.

[tex]78 = c[/tex]

The hypotenuse is 78 m long.

find c:

a² plus b² = c

72² plus 30²=c

5I84 plus 900

6084

now square root that

78

so C=78

Post 3 things you Notice or 3 things you Wonder about this image

Answers

I wonder why they teeth look like that   and them

Someone plz help me

Answers

If each triangle in the figure is equilateral, the perimeter of the figure would be 18 inches.

Answer:

18 inches

Step-by-step explanation:

1. Multiply 3 by 6

3 x 6 = 18

2. Get answer of 18

18 inches

Which equation is equivalent to 5x = In 8?

Answers

Answer:

5x= in 8

Step-by-step explanation:

There is no other equation so i hope this is right

Kyle earned 4 times as much as Ken last summer. If they earned a total of $750, how much did they each earn?
Show all work

(Please help will give brainliest)

Answers

Answer:

600, 150

Step-by-step explanation:

Kyle is x

ken is y

x = 4y

x+y = 750

replace x with 4y

4y + y = 750

5y = 750

y = 150

so ken earned 150

x + 150 = 750

x = 600

so Kyle earned 600

If you have 100 apples and your friend eats 72 of them how many apples do you have left.

Answers

Answer: 28

Explanation: you had 100 but friend eats 72

100-72 = 28.

Answer:

28

Step-by-step explanation:

100 - 72 = 28

plz answer my question

Answers

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.

Answers

Answer:

The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°

the number 47 is composed of

Answers

Answer:

it's composed of the digits 4 and 7

The chemistry teacher decides to use chalk paint to cover a circular portion of a wall in the science lab. If the greatest distance
across the circle is is 3 feet, approximately how many square feet will the chalk paint cover?

Answers

Answer: 7ft

Step-by-step explanation:

i just did it

The maximum area covered will be 9 ft².

What is the area of circle?

The region that a circle occupies in a two-dimensional space is known as the area of the circle.

The area of circle is -

A = πr²

Given:

The chemistry teacher decides to use chalk paint to cover a circular portion of a wall in the science lab.

If the greatest distance across the circle is is 3 feet.

We can write the maximum area covered as -

A = πr²

A = 3.14 x 3 x 3

A = 9 ft²  {approx.}

So, the maximum area covered will be 9 ft².

Learn more about Areas here:

brainly.com/question/29014197

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Please help me, I will give 29 points!

Answers

Answer:

−0.8x+4.8y+16

Step-by-step explanation:

4(0.5x+2.5y−0.7x−1.3y+4)

=(4)(0.5x+2.5y+−0.7x+−1.3y+4)

=(4)(0.5x)+(4)(2.5y)+(4)(−0.7x)+(4)(−1.3y)+(4)(4)

=2x+10y−2.8x−5.2y+16

=−0.8x+4.8y+16

b) Work out the Highest Common Factor of 600 and 1050
be here to search
TELE​

Answers

Answer:

the greatest common factor is 150

The ratio of boys to girls in a club is 4:5 what fraction of the club are boys

Answers

Answer:

4/9 are boys

Step-by-step explanation:

Explanation: There is an important difference between the way counts are viewed in ratio to that in fractions. The ratio of boys : girls →4:5 so you have 4 boys and 5 girls making the whole count 4+5=9 in its simplest form.

Write
0.33

as a fraction in simplest form.

Answers

Answer:

33/100

Step-by-step explanation:

Please help with this question.

Answers

Answer:

7/1000

Step-by-step explanation:

1 m = 1000 mm

Therefore,

Scale factor = 7/1000

25x^2 + 81
factorize completely pls help I'm in a hurry

Answers

Answer:

9/5 or 1.8

Step-by-step explanation:

25x(sqd)+81

x(sqd)=81/25

x=sq rt (81/25) = 9/5 =

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