The horizontal distance between two trees of different heights is 60 m. The angle of depression of the top of the first tree when seen from the top of the second tree is 45°. If the height of the second tree is 80 m, find the height of the first tree.

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• A 60√3 m
• B 20√3 m
• C 20 m
• D 40 m

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Answer: C. 20 m

Let the first tree be h m tall. The difference in heights is 80 - h.
tan 45° = (80 - h)/60, so 80 - h = 60 and h = 20 m.

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