Problema Solution

An 18 foot ladder is leaned against a wall. if the base of a ladder is 8 feet from the wall, how high up on the wall will the ladder reach?

Answer provided by our tutors

let


h = the height of the ladder up on the wall, h>0


make a drawing and use Pythagorean Theorem:


8^2 + h^2 = 18^2


by solving we find:


h = 16.12 ft


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the ladder reaches up to 16.12 ft high on the wall.