A Technician has to repair a light on a pole of height 10 m. She needs to reach

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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 $30^{\circ}$ to the horizontal, would enable her to reach the required position, is

___ m

(You may take $\sqrt{3}$ = 1.73)

Options:

Answer: Option A
:

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,
$S i n 30^{\circ} = \frac{A B}{A C}$

$\Rightarrow \frac{1}{2} = \frac{8}{A C}$
Hence, height of the Ramp AC = 2 $\times$ 8 = 16m

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