document.write( "Question 1034720: A man measures the angle of elevation to the top of a mountain to be 12 degrees. He drives 7 miles closer and finds the angle of elevation to be 37 degrees. How high is the mountain? \n" ); document.write( "
Algebra.Com's Answer #649439 by MathTherapy(10552)\"\" \"About 
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A man measures the angle of elevation to the top of a mountain to be 12 degrees. He drives 7 miles closer and finds the angle of elevation to be 37 degrees. How high is the mountain?
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With y being the distance from where he walked to, to the base of the building, the following proportion can be set up:
\n" ); document.write( "\"%287+%2B+y%29+%2A+tan+%2812%5Eo%29+=+y+%2A+tan+%2837%5Eo%29\"
\n" ); document.write( "\"%287+%2B+y%29%2Fy+=+tan+%2837%5Eo%29%2Ftan+%2812%5Eo%29\"
\n" ); document.write( "\"%287+%2B+y%29%2Fy+=+3.545193\"
\n" ); document.write( "3.545193y = 7 + y -------- Cross-multiplying
\n" ); document.write( "3.545193y – y = 7
\n" ); document.write( "2.545193y = 7
\n" ); document.write( "\"y+=+7%2F2.545193\", or 2.750283\r
\n" ); document.write( "\n" ); document.write( "Now, height of mountain = \"matrix%281%2C3%2C+y+%2A+tan+%2837%5Eo%29%2C+or%2C+2.750283+%2A+tan+%2837%5Eo%29%29\" = \"highlight_green%28matrix%281%2C2%2C+2.072487%2C+miles%29%29\"
\n" ); document.write( "If familiar with the Law of Sines, you can also use this to find the height. As a matter of fact, this method is easier. \n" ); document.write( "
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