# 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)

- 8.16
- 8.66
- 7.32
- 8.26

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**Answer: (2) 8. 66**

**Explanation:-**

Let be the distance of the foot X m.

In the diagram-

In Right triangle ABC,

Cos30^{o} = 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.