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. What should be 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? Also, how far from the foot of the pole should she place the foot of the ramp? (You may take $\sqrt{3}$ = 1.73)

• A. 8 m
• B. 16 m
• C. 8√3 m
• D. 16√3 m

Answer 1

The correct option is B

16 m

Distance of the point she should reach = AB = 10 - 2 = 8 m

Hence Height of the Ramp AC = 2x = 2 $\times$ 8 = 16m