document.write( "Question 1205423: The angle of depression of a point on the 225m contour line is 10.2° from the top of a hill 915m high. Calculate the horizontal distance between the two points.
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Algebra.Com's Answer #842222 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The angle of depression of a point on the 225m contour line is 10.2° from the top of a hill 915m high.
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document.write( "In vertical section, you have a right-angle triangle with vertical leg of 915-225 = 690 meters\r\n" );
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document.write( "Its other, horizontal leg, is the unknown horizontal distance d.\r\n" );
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document.write( "You have this equality for tangent of the given angle 10.2° \r\n" );
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document.write( "    tan(10.2°) = ,\r\n" );
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document.write( "which gives you  d =  =  = 3835 meters (approximately).\r\n" );
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document.write( "        So, the horizontal distance is about 3835 meters.\r\n" );
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document.write( "The distance D along the hillside is the hypotenuse of our right-angle triangle, so\r\n" );
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document.write( "    sin(10.2°) = ,\r\n" );
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document.write( "which gives you D =  =  = 3896 meters (approximately).\r\n" );
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document.write( "        So, the distance along the hillside is about 3896 meters.\r\n" );
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document.write( "The difference between the two distances is  3896 - 3835 = 61 meters.\r\n" );
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