The angle of depression of 47 m high building from the top of a tower 137 m high is 30∘. Calculate the distance between the building and the tower
A
90√3 m
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B
80√5 m
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C
70√3 m
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D
None of these
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Solution
The correct option is A90√3 m Let AB and CD represent the tower and building respectively The angle of depression ∠XAD=30∘ In ΔADE,DE=CB=x∠ADE=∠XAD=30∘(alt.∠s) AE=AB−EB=AB−DC=(137−47)m=90 m ∴tan30∘=AEDE