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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

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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.

  Is there an error in this question or solution?
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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