Question

A skyscraper casts a shadow 200 feet long. If the angle of elevation of the sun is 49 , then the height of the skyscraper is _____.

Answer 1

Height of the skyscraper = 230.07 feet

Explanation:

In the given triangle AB is a skyscraper that casts a shadow of 200 feet long.

If the angle of elevation of the sun is 49°

In the given right angle triangle ABC

tanC =
`(AB)/(BC)`

`tan49=(AB)/(200)`

AB = 1.1504×200

= 230.07 feet

Therefore, the height of the skyscraper is 230.07 feet