Question

A ladder is leaning against the side of a 10cm house. If the base of the ladder is a 3cm away from the house, how tall is the Ladder

Answer 1

10.44cm lon

Explanation:

Given data

Height of house= 10cm

Distance of ladder from wall= 3cm

We can apply the Pythagoras theorem to get the length of the ladder

Also, the length of the ladder is the hypothenuse

z^2= x^2+y^2

z^2= 10^2+ 3^2

z^2= 100+9

z^2= 109

square both sides

z= √109

z= 10.44cm

Hence the ladder is 10.44cm long