Practice mode Height and Distance

A balloon rises vertically from a point on level ground. An observer 300 m from that point sees the angle of elevation of the balloon change from 30° to 60°. Taking √3 = 1.732, how far has the balloon risen in that time?

Correct answer D. 346.40 m

Explanation

Heights are 300 tan 30° = 100√3 and 300 tan 60° = 300√3. Rise = 200√3 = 200 x 1.732 = 346.40 m.

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