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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