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

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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^{\circ}

to the horizontal, would enable her to reach the required position, is
___ m
(You may take

\sqrt{3}

= 1.73)

Answer:
:

A Technician Has To Repair A Light On A Pole Of Height 10 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,

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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