PYQ · UPSC Combined Defence Services 2023 · Elementary Mathematics · Q55 Difficulty 2/5
Trigonometry› Heights & Distances
A woman is standing on the deck of a ship, which is h (in metres) above water level. She observes the angle of elevation of the top of a tower as 60° and the angle of depression of the base of the tower as 30°. What is the height of the tower ?
Answer c.
Explanation Answer · c
The tower extends 3h above the deck, making its total height 4h. Let horizontal distance be d and tower height H. The depression angle gives h/d=tan30°=1/√3, so d=h√3. Elevation gives (H−h)/d=√3, hence H−h=3h and H=4h.
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