# What is the Distance of the Foot of the Ladder from the Wall?

A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given √3=1.732)

1. 8.16
2. 8.66
3. 7.32
4. 8.26
Monis Rasool Professor Asked on 23rd August 2015 in

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Explanation:-
Let be the distance of the foot X m.

In the diagram-

In Right triangle ABC,
Cos30o = X/10
sqrt.3/2 = X/10
sqrt.3 = X/5
X = 5 x sqrt.3
X = 5 x 1.732
X = 8.66 m

Then, the distance of the foot is 8.66 m.
Hence, the answer is (2) 8.66 m.

Anurag Mishra Professor Answered on 24th August 2015.