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°

Question

Mathematics

Hadassah Bradley

24 November, 18:14

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°

+2

Answers (2)

Know the Answer?

Pranav Wu · Answer 1

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°

Nicholas Chang · Answer 2

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°

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°

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°