SOLUTION: A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?

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Question 288925: A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?
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Draw the picture.
You have a right triangle with hypotenuse = 15 ft.
and a 28 degree angle where the ladder hits the building.
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Let the base be "b":
Equation:
sin(28) = b/15
b = 15*sin(28)
b = 7.042 feet
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Cheers,
Stan H.