Q:

The sun is 25 degrees above the horizon. find the length of a shadow cast by a building that is 100 feet tall. round your answer to two decimal places. the length of the shadow is ____ feet.

Accepted Solution

A:
Answer
214.45 feet

Explanation
The sun is 250 above the horizon. This means that the angle of elevation is 25o.
Since you have been given the height of the building, you can use the trigonometric ratio (tangent) to find the length of the shadow (l).
tan⁡〖= 〗 oposite/adjacent
tan⁡25=100/l
l=100/tan⁡25 =214.4506921
Length of the shadow = 214.4506921 feet