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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

a) $$\frac{4}{{\sqrt 3 }}$$
b) $$4\sqrt 3 $$
c) $$2\sqrt 2 $$
d) $$4$$

Answer: d
Explanation: Suppose AB is the ladder of length x m
OA = 2m, ∠OAB = 60°
$$\eqalign{ & {\text{In right }}\Delta AOB,\,\sec {60^ \circ } = \frac{x}{2} \cr & \Rightarrow 2 = \frac{x}{2} \cr & x = 4\,m \cr} $$

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