Practice mode Height and Distance

A storm breaks a vertical tree so that its top touches the ground 14 m from the foot, with the broken part making an angle of 30° with the ground. Taking √3 = 1.732, what was the original height of the tree?

Correct answer C. 24.25 m

Explanation

Standing part = 14 tan 30° = 14/√3; broken part = 14/cos 30° = 28/√3. Total = 42/√3 = 14√3 = 24.25 m.

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