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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: - CBSE Class 10 - Mathematics

#### Question

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) 4/sqrt3

(B) 4sqrt3

(C) 2sqrt2

(D)4

#### Solution

In the figure, MN is the length of the ladder, which is placed against the wall AB and makes an angle of 60° with the ground.

The foot of the ladder is at N, which is 2 m away from the wall.

∴ BN = 2 m

In right-angled triangle MNB:

"Number of favourable outcomes"/"Total number of outcomes"=3/4

Therefore, the length of the ladder is 4 m.
Hence, the correct option is D.

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Solution 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: Concept: Heights and Distances.
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