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Question

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


A

6 m

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B

10 m

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C

8 m

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D

12 m

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Solution

The correct option is D

12 m


In triangle ABC,
BC = y = 20 - 14 = 6m

Let AB = x

sin 30= BCAB

12 = 6x

x = 12

Thus, the length of the string is 12 m.


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