Question

The angle of elevation to the top of a 30-story skyscraper is measured to be 2 degrees from a pointo on the ground 5,280 feet from the building. What is the height of the skyscraper to the nearest hundredth foot?

Answer 1

check picture below

make sure your calculator is in Degree mode, since the angle is in degrees

Answer 2

Answer:

$184.38\ ft$

Step-by-step explanation:

we know that

In a right triangle the tangent function of an angle $\theta$ is equal to divide the opposite side to the angle $\theta$ by the adjacent side to the angle $\theta$

In this problem we have

$\theta=2\°$

$adjacent\ side=5,280\ ft$

Let

h-----> the opposite side to the angle $\theta$ (represent the height)

so

$tan(2\°)=h/5,280$

$h=5,280*tan(2\°)=184.38\ ft$

see the attached figure to better understand the problem