Question

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its base and she is 5 feet tall what is the height of the Statue of Liberty

SHOW WORK PLEASE

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem:

- The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.

-Madison is 5 feet tall.

2. Therefore, you have:

Sinα=opposite/hypotenuse

Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft

3. Now, you can calculate the height of the Statue of Liberty, as below:

height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft

4. Therefore, as you can see, the answer is: 62.13 ft

Answer 2

305 feet

Explanation:

Refer the attached figure :

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees i.e.∠ABE=79°

Madison is standing 58.2 feet from its base i.e.BE=CD=58.2 feet

She is 5 feet tall i.e. BC=ED=5 feet.

We are supposed to find the height of the Statue of Liberty i.e. AD

In ΔABE

`Tan\theta =(Perpendicular)/(Base)`

`Tan 70^(\circ) =(AE)/(BE)`

`Tan 70^(\circ) =(AE)/(58.2)`

`58.2 * 5.1445=AE`

`299.4099=AE`

AD = AE+ED = 299.4099+5 =304.409

Hence the height of the Statue of Liberty is 304.40 feet≈ 305 feet.