Question

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is the shadow across the ground?

Answer 1

If the height of the building is 100 ft, and the angle made with the ground is 30°:
You can say that tan(30) = 100/x
Rearranging for x you get x = 173.2 ft

Answer 2

Answer: The length of the shadow is 173.2 feet long

Explanation:

Since we have given that

Length of a building = 100 feet

Angle of elevation that a shadow makes with the ground = 30°

We need to find the length of the shadow :

We will use "Trigonometric Ratios: :

`(AB)/(BC)=\tan 30\textdegree\\\\(100)/(BC)=(1)/(√(3))\\\\BC=100* √(3)\\\\BC=100* 1.732=173.2\ feet`

Hence, the length of the shadow is 173.2 feet long .