Question

A flagpole is 23 feet tall and it casts a shadow that is 5 feet in length from the base of the flagpole. Imagine you were to draw an imaginary line from the top of the flag pole to the end of the shadow. Use the inverse of tangent to determine the approximate angle formed at the top of the flagpole.(1 point)
Responses

12°
12°

27°
27°

45°
45°

78°

Answer 1

Tan(theta) = opposite/adjacent = 5/23, so theta = arctan(5/23) ≈ 12.3°, so about 12°.