Question

A 5.5m long ladder is leaned against a wall .the ladder reaches the wall to a height of 4.4m .find distance between the wall and the foot of the ladder

Answer 1

The distance between the wall and the foot of the ladder is 3.3 m

Answer 2

Hey,

● Answer -

Distance between the wall and the foot of the ladder = 3.3 m

● Explanation -

# Given -

Length of the ladder, l = 5.5 m

Height of the wall, h = 4.4 m

Distance between ladder foot and wall = x

# Solution -

Using Pythagorean theorem -

l^2 = x^2 + h^2

5.5^2 = x^2 + 4.4^2

30.25 = x^2 + 19.36

x^2 = 30.25 - 19.36

x^2 = 10.89

x = 3.3 m

Hence, distance between the wall and the foot of the ladder is 3.3 m.

Hope this helps you. Thanks dear.