document.write( "Question 315945: A worm is 14m from the bottom of a tree. It sees a squirrel on the tree at an angle of elevation of 22 degree. It also sees a bird on the tree at an angle of elevation of 55 degree. How far is the squirrel from the bird? \n" ); document.write( "

Algebra.Com's Answer #226020 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Do worms have eyes?  I don't think so, but I think they can detect\r\n" );
document.write( "light.  But detecting squirrels and birds and their angles of elevation?\r\n" );
document.write( "I dunno!  :-)\r\n" );
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document.write( "The worm is at point W, the squirrel is at point S, and the bird \r\n" );
document.write( "is at point B.  The base of the tree is point X.\r\n" );
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document.write( "WE want to find SB, the distance from the squirrel to the bird.\r\n" );
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document.write( "WX = 14\r\n" );
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document.write( "We use the smaller (red) right triangle SWX to find SX\r\n" );
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document.write( "We use the larger (green) right triangle BWX to find BX\r\n" );
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document.write( "SB = BX - SX = 14tan(55°) - 14tan(22°) = 14[tan(55°) - tan(22°)]\r\n" );
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document.write( "= 14(1.428148007 - 0.4040262258) = 14(1.024121781)=14.33770493 meters\r\n" );
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document.write( "Edwin

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