Question

The bottom of ladder must be placed 3 feet from wall.The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

Answer 1

9.54ft

Explanation:

This problem uses pythagoras theorem as the ladder and the wall make a triangle.

A

B C

Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula

3^2+b^2=10^2

Rearranged this is,

b^2=10^2-3^2

b^2=91

b=
`√(91)`

b=9.54

The above is rounded to two decimal places