SOLUTION: A ladder 8ft long resting against a house makes a 60 degree angle with the ground.How far up the house does it reach? Give answer in terms with the radical in the numberator
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Question 468934: A ladder 8ft long resting against a house makes a 60 degree angle with the ground.How far up the house does it reach? Give answer in terms with the radical in the numberator Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A ladder 8ft long resting against a house makes a 60 degree angle with the ground.How far up the house does it reach? Give answer in terms with the radical in the numerator.
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Draw the picture.
You have a right triangle with hypotenuse = 8 ft
and ground angle = 60 degrees.
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Find the height of the triangle.
Solve sin(60) = height/8
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height = 8*sin(60) = 8*(sqrt(3)/2) = 4*sqrt(3) = 6.9282 ft.
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Cheers,
Stan H.
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