A painter leans a ladder against a second story window. The base of the ladder must clear a vegetable garden that extends 5 feet from the base of the house. If the ladder is 15 feet long, how high is it to the second story window? ( Hint: a picture may be helpful to you) Write your answer as a simplified radical. Show your work!

Guest May 6, 2021

#1**+2 **

This makes a right triangle ....the hypotenuse is the ladder ( 15 ft)

on leg is the graden 5 ft

find the other leg using the Pythagorean theorem ( w is the other leg = height of window)

15^{2} = 5^{2} + w^{2}

w = sqrt 200 = 10 sqrt 2 ft

ElectricPavlov May 6, 2021

#1**+2 **

Best Answer

This makes a right triangle ....the hypotenuse is the ladder ( 15 ft)

on leg is the graden 5 ft

find the other leg using the Pythagorean theorem ( w is the other leg = height of window)

15^{2} = 5^{2} + w^{2}

w = sqrt 200 = 10 sqrt 2 ft

ElectricPavlov May 6, 2021