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A 20 ft. extension ladder leans up to a building at a 65 degree angle with the ground. How high up does the ladder reach?

math
 Aug 22, 2014

Best Answer 

 #1
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8.452 feet

 Aug 22, 2014
 #1
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+5
Best Answer

8.452 feet

Guest Aug 22, 2014
 #2
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We know an angle, the hypoteneuse, and we're looking for the opposite side.  So we have:

sin(65) = opp / 20     Multiplyimg both sides by 20, we have

20*sin(65)  = opp  ≈ 18.13 ft.

 

 Aug 23, 2014

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