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Question

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


A

6m

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B

10m

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C

8m

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D

12m

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Solution

The correct option is D

12m


In triangle ABC,

BC = y = 20-14 = 6m; AC = x

tan30=yx

13=6x

x=63

Now, the length of rope AB is given by:

AC2+BC2=AB2

AB=12m
Thus, the length of the string is 12 m.


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