Q. 85.0( 1 Vote )

# A ladder makes an angle 30° with the floor and its lower end is 12m away from the wall. Find the length of the ladder.

Answer :

Let AC be the length of the ladder.

AB is the distance between the foot of the ladder and the wall = 12m

In ΔABC,

⇒ cos 30° =

⇒ cos 30° =

From cosine table, cos 30° = 0.8660

⇒ 0.8660 =

⇒ AC = = 13.856 m

∴ The length of the ladder is 13.856 m.

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