Question

The sun is behind a building and casting a shadow. How long is the shadow if the building is 25 feet tall and the angles, of the shadow, oppsoite the building is 27°? (Assume the bulding is at a right angle to the ground).

A) 0.2ft

B) 55.07ft

C) 28.06ft

D) 59.07ft

Answer 1

Length of shadow = 49.07 feet

Explanation:

We have given,

Height of building, AB = 25 feet

Length of shadow be BC.

Angle of the shadow opposite to the building = 27°

Using trigonometric function tan function

tan( 27 ) =
`(AB)/(BC)`

or BC =
`(AB)/(tan(27))`

or BC = 49.07 feet

So, length of shadow , BC = 49.07 feet