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The tops of two poles of height 20m and 14m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is

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8 m

10 m

6 m

12 m

answer is A.

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Detailed Solution

$A C = 20 - 14$

$= 6$ mts

In $∆ A B C$

$\sin 30 ° = \frac{A C}{A B}$

$\frac{1}{2} = \frac{6}{A B}$

$A B = 12$ mts

$∴$ length of the wire $= 12 m t s$

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