Trigonometry ProblemDate: 11 Aug 1995 00:45:02 -0400 From: Norm Subject: pythagoras Question: A 12 metre ladder is inclined to the vertical at 48 degrees. How far is if from the base? Date: 11 Aug 1995 10:29:24 -0400 From: Dr. Ken Subject: Re: pythagoras Hello there! This is a classic example of where Trigonometry is the only tool we have if we want to solve the problem. Here's how it goes: |\ | \ | \ | \ | \ | \ | \ | \12 m | \ | \ | \ | \ | 48deg\ |_____________\ x Now since Cos = Adjacent/Hypotenuse, we know that Cos(48) = x/12. Since the Cosine of 48 degrees (in radians, 4Pi/15) is 0.669, we have the equation 0.669 = x/12. Multiplying by 12, we see that x = 8.03 meters. Pretty fun, eh? -K |
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