document.write( "Question 1198040: From a point A on level ground, the angle of elevation to the top of a tree is 38 degrees.
\n" ); document.write( "From point B that is 46 feet farther from the tree, the angle of elevation is 22 degrees. What is the height of the tree?\r
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\n" ); document.write( "A) 34.1 feet
\n" ); document.write( "B) 35.8 feet
\n" ); document.write( "C) 36.7 feet
\n" ); document.write( "D) 37.2 feet
\n" ); document.write( "E) 38.5 feet \n" ); document.write( "

Algebra.Com's Answer #831550 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "A and B are the two points from which the given angles of elevation\r\n" );
document.write( "are measured. G is the base of the tree, and T is the top of the tree.\r\n" );
document.write( "x is the distance from A to the base of the tree G.\r\n" );
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document.write( "Using right triangle ATG,\r\n" );
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document.write( "Using right triangle BTG,\r\n" );
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document.write( "So the system to solve is\r\n" );
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document.write( "which the other tutor gave.\r\n" );
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document.write( "Solving is easier if you let  and \r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "Solve the 2nd equation for x\r\n" );
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document.write( "Substitute that for x in the 1st equation:\r\n" );
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document.write( "Multiply through by u\r\n" );
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document.write( "Get the y terms on the left:\r\n" );
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document.write( "Factor out y:\r\n" );
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document.write( "Substituting tan(38^o) for u and tan(22^o) for v\r\n" );
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document.write( "Edwin

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