A ladder makes an angle of {60}^\circ\ with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is:

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Solution

Q.
A ladder makes an angle of $60 °$ with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is:

1 $\frac{4}{\sqrt{3}}$

2 $4 \sqrt{3}$

3 $2 \sqrt{2}$

4 4

Ans.
(4)

Let BC be wall and AC be the ladder placed against the wall. Then,

$A B = 2 m a n d ∠ B A C = 60 ° . I n △ A B C, w e h a v e$

$\cos 60 ° = \frac{A B}{A C} \Rightarrow \frac{1}{2} = \frac{2}{A C} \Rightarrow A C = 4 S o, t h e l e n g t h o f l a d d e r i s 4 m .$

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