Question

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.
A) 31°
B) 34°
C) 42°
D) 56°

Answer 1

Answer:

The solution is 34°.

Step-by-step explanation:

We can use the inverse tangent ratio to determine the angle of elevation.

Angle = tan-1(

100

150

)

Angle = 34°

Answer 2

Answer:

Step-by-step explanation:

A tree that is 100 feet tall casts a shadow that is 150 feet long ...

The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°