Question

A ladder leans against the side of a house. The top of the ladder is 2 m from the ground. The bottom of the ladder is 2 m from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

Answer 1

so length of ladder is 2.8 m.

Explanation:

Since its a right angled triangle, use pythagoras theorem

Now

h² = p² + b²

or, h² = 2² + 2²

or, h² = 4 + 4

or, h² = 8

`h = √(8) \\ so \: h \: = 2 √(2) \\ h \: = 2.84`