9514 1404 393
Answer:
37 degrees
Step-by-step explanation:
The tower and the shadow form legs of a right triangle. The angle of interest is the angle between a direct line from the shadow tip to the tower top, and the ground, adjacent to the shadow. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (117 ft)/(158 ft)
The arctangent function is used to find the angle that has a given tangent.
angle of elevation = arctan(117/158) ≈ 36.52°
The angle of elevation is about 37°.
