From the top of a building 20 m high, the angle of elevation of the top of a taller tower is 45° and the angle of depression of the foot of the tower is 30°. Taking √3 = 1.732, what is the height of the tower?
Correct answer B. 54.64 m
Explanation
Distance between them = 20/tan 30° = 20√3 = 34.64 m. Height above the roof = 34.64 x tan 45° = 34.64 m. Tower = 20 + 34.64 = 54.64 m.
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