Two poles are 10m and 20m high. The line joining their tops makes an angle of 15∘ with the horizontal. The distance between the poles is approximately equal to
A
36.3m
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B
37.3m
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C
38.3m
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D
39.3m
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Solution
The correct option is D37.3m
Let AB and CD are two poles
AB=10m and CD=20m
and ∠CAE=15∘
Here CE=CD−ED
=20−10=10m
In △ACE,
⇒tan15∘=CEAE
⇒AE=10tan15∘
=102−√3=37.3m
Therefore the distance between the two poles is 37.3m