Practice mode Height and Distance

From the top of a tower 60 m high, the angles of depression of the top and the foot of a shorter pillar standing on the same level ground are 30° and 60° respectively. What is the height of the pillar?

Correct answer D. 40 m

Explanation

Distance = 60/tan 60° = 20√3 m. Drop to pillar top = 20√3 x tan 30° = 20 m. Pillar height = 60 - 20 = 40 m.

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