Determine the height of the tower, the length of the shadow from which is 37.5 m, and the angle of incidence of the sun’s rays

Determine the height of the tower, the length of the shadow from which is 37.5 m, and the angle of incidence of the sun’s rays during the measurement is 60 °.

To solve the problem, we use a picture, where AB is the height of the tower, BC is the length of its shadow.
Angle АСВ = 60о, angle BAC = 30о. The side that lies against an angle of 60 ° is greater
the side lying opposite the 30 ° angle exactly twice (60: 30 = 2).
Find the height of the tower: 37.5 × 2 = 75 m.
Answer: the height of the tower is 75 m.

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