The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach?

Question

Mathematics

Rylie Hodges

12 August, 10:19

The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach?

+5

Answers (2)

Know the Answer?

Vincent Glass · Answer 1

The ladder would be 12 feet up the wall.

Craig · Answer 2

let x be how far up the wall ladder reaches

by Pythagoras theorem

x^2+5^2=13^2

x^2 = (13^2) - (5^2)

x = square root of 144

x = 12 or x = -12 (rej, x>0)

hence ladder reaches 12 foot up the wall