The world's tallest unsupported flagpole is a 282-foot-tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137 feet long. To the nearest degree, what is the angle of elevation of the sun when casting the flagpole's shortest shadow?

Question

The world's tallest unsupported flagpole is a 282-foot-tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137 feet long. To the nearest degree, what is the angle of elevation of the sun when casting the flagpole's shortest shadow?

(1 point)

A. 26 degrees

D. 29 degrees

C. 61 degrees

D.64 degrees

Answer 1

yeah your wrong btw the answer is actually 64 degrees but ok

Answer 2

Let's assume that the flagpole and the shadow form a right triangle. The height of the flagpole would represent the opposite side, and the length of the shadow would represent the adjacent side. We can use the tangent function to find the angle of elevation of the sun:

tan(angle) = opposite/adjacent
tan(angle) = 282/137

To find the angle, we can take the inverse tangent (arctan) of both sides:

angle = arctan(282/137)
angle ≈ 61.02 degrees

To the nearest degree, the angle of elevation of the sun when casting the flagpole's shortest shadow is approximately 61 degrees. Thus, the answer is option C.