A ladder is 6m long.How much farther up a wall dose it reach when the foot of the ladder is 2m fro the wall than when it is 3m from the wall?

1 answer

Time for ye olde Pythagorean Theorem.

a^2 + b^2 = c^2

2^2 + b^2 = 6^2
4 + b^2 = 36
b^2 = 34
b = 5.83

3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = 5.2