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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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