Practice mode Height and Distance

From the top of a cliff 60 m high, the angles of depression of two boats on the same side of the cliff and in line with its foot are 45° and 60°. Taking √3 = 1.732, what is the distance between the boats?

Correct answer B. 25.36 m

Explanation

Distances from the foot: 60/tan 45° = 60 m and 60/tan 60° = 20√3 = 34.64 m. Gap = 60 - 34.64 = 25.36 m.

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