SOLUTION: a ladder of length l= 9 m is placed against a home pin reparation for washing the windows. How high on the home does the ladder reach when the bottom of the ladder is d= 4m from th

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Question 599041: a ladder of length l= 9 m is placed against a home pin reparation for washing the windows. How high on the home does the ladder reach when the bottom of the ladder is d= 4m from the home?round to the nearest tenth.
Answer by nerdybill(7384) About Me  (Show Source):
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a ladder of length l= 9 m is placed against a home pin reparation for washing the windows. How high on the home does the ladder reach when the bottom of the ladder is d= 4m from the home?round to the nearest tenth.
.
Apply the Pythagorean Theorem:
Let x = height on home the ladder reaches
then
x^2 = 9^2 + 4^2
x^2 = 81 + 16
x^2 = 97
x = 9.8489
rounding to nearest tenth:
x = 9.8 m