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Question

A technician has to repair a light on a pole of height 10 m. She needs to reach a point 2 m below the top of the pole to undertake the repair work. The length of the ramp that she should use which, when inclined at an angle of 30 to the horizontal, would enable her to reach the required position, is______ m.
(You may take 3 = 1.73)


A
8 m
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B
16 m
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C
12 m
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D
10 m
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Solution

The correct option is B 16 m

Let BD be the height of the pole. And A is the point where she has to do the repair work.

So, distance of the point she should reach = AB = 10 - 2 = 8 m
In the given right-angled triangle,
Sin 30=ABAC

12=8AC
Hence, length of the Ramp AC = 2 × 8 = 16m


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