SOLUTION: THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?

Question 340883: THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?
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Draw the picture.
You have a right triangle with hypotenuse = 25
and base = 7.
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Use Pythagoras to find the height.
height^2 = hypotenuse^2 - base^2
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h^2 = 25^2-7^2
h^2 = 576
h = 24 ft.
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Cheers,
Stan H.
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