Question

What is the angle of elevation of the sun when a 46-ft mast casts a 34 ft shadow?

A) 38.7 degrees

B) 45.2 degrees

C) 53.1 degrees

D) 61.7 degrees

Answer 1

The angle of elevation of the sun when a 46-ft mast casts a 34 ft shadow is approximately 53.1 degrees.

Step-by-step explanation:

To find the angle of elevation of the sun, we can use the tangent function. The tangent of the angle of elevation is equal to the opposite side (height of the mast) divided by the adjacent side (length of the shadow). Therefore, tan(angle) = 46/34. Taking the inverse tangent of both sides, we find that the angle is approximately 53.1 degrees. So the correct answer is C) 53.1 degrees.