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Two poles are 10 m and 20 m high. The line joining their tops

Question

Two poles are 10 m and 20 m high. The line joining their tops makes an angle of $1 5^{o}$ with the horizontal. The distance between the poles is approximately equal to

36.3 m

37.3 m

38.3 m

39.3 m

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Noah Discussed

Two poles are 10 m and 20 m high. The line joining their tops makes an angle of

1 5^{o}

with the horizontal. The distance between the poles is approximately equal to

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Solution:

Let AB and CD are two poles, where

A B = 10 m

and

C D = 20 m

∠ C A E = 1 5^{\circ}

CE = C D - E D = 20 - 10 = 10 m

△ A CE

tan 1 5^{\circ} = \frac{CE}{A E}

or,

A E = \frac{10}{tan 1 5 ^{\circ}} = \frac{10}{2 - 3} = 37.3 m

Therefore distance between two poles is

37.3 m .

Hence, B is the correct answer.

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Question Text	Two poles are 10 m and 20 m high. The line joining their tops makes an angle of $1 5^{o}$ with the horizontal. The distance between the poles is approximately equal to
Answer Type	Text solution:1
Upvotes	150