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!
+36916 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
+36916 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
