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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!

 May 6, 2021

Best Answer 

 #1
avatar+32894 
+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)

 

152 = 52 + w2

w = sqrt 200 =   10 sqrt 2   ft

 May 6, 2021
 #1
avatar+32894 
+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)

 

152 = 52 + w2

w = sqrt 200 =   10 sqrt 2   ft

ElectricPavlov May 6, 2021

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