A pole 10 m long rests slantly against a vertical wall AB…

A pole 10 m long rests slantly against a vertical wall AB making an angle 30° with the horizontal (ground). Find how far the foot of the pole is from the wall (in metres).

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. $5\sqrt 3$ .

cosx = $Base \over Height$

⇒ cos 30° = $B \over 10$

⇒ ${\sqrt{3} \over 2} = {B \over 10}$

⇒ B = $5\sqrt 3$

Hence the distance of the pole from the wall is $5\sqrt 3$ .

SSC CGL 2024 PYQ — Question 65