- A12(1 + √3) m
- B12√3 m
- C24 m
- D12(√3 − 1) m
Step-by-Step Solution
The 30° depression gives the distance: 12 cot 30° = 12√3 m. The cliff rises 12√3 tan 45° = 12√3 m above eye level, so its height is 12 + 12√3 = 12(1 + √3) m.
Answer: A) 12(1 + √3) m
From the deck of a ship 12 m above the water, the angle of elevation of the top of a cliff is 45° and the angle of depression of its base is 30°. Find the height of the cliff.
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