Question

A ladder is leaning against a wall. The top of a ladder is 5m off the floor and the base of the ladder is 1m away from the wall. How long is the ladder? Give your answer to one decimal place.

Answer 1

The ladder is 5.09 m long

Explanation:

Given that,

The height of the wall, P = 5 m

The base of the ladder is 1 m away from the wall.

We need to find the length of the ladder. Let it is H. We can solve it using the Pythagoras theorem. It can be given by :

`H^2=P^2+B^2\\\\H^2=5^2+1^2\\\\H^2=25+1\\\\H=√(26) \\\\H=5.09\ m`

So, the ladder is 5.09 m long.