A ladder makes an angle of 60 degree with the ground when placed against a wall. If the foot of the ladder is 2m away from the wall, then the length (in meters) is?
- 4
- 5
- 6
- 8
Explanation
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 2m away from the wall.
∴BN=2m
In right-angled triangle MNB :
cos60∘=BNMN=2mMN
⇒12=2mMN
⇒MN=4m
Therefore, the length of the ladder is 4m.
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