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A man standing on the deck of a ship 8 m above water level observes the angle of elevation of the top of a hill as 60 degrees and the angle of depression of the base of the hill as 30 degrees. The height of the hill is
A16 m
B24 m
C40 m
D32 m
Answer & Solution
Correct answer: D. 32 m
1. Distance to hill foot d: tan(30) = 8/d, so d = 8 (square root of 3).
2. Height above deck: tan(60) = h2/d, so h2 = d (square root of 3) = 24.
3. Total height = h2 + 8 = 32 m.
_Source: NCERT Class 10 Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_
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