document.write( "Question 1129902: Please help with this math word problem!!
\n" ); document.write( "A pet's collar contains a transmitter that is helping its owners find the lost animal. From positions 250 m apart, the searchers can detect the transmitter at angles 87 and 53 from the straight line between the searchers. How far is each searcher from the lost pet?\r
\n" ); document.write( "\n" ); document.write( "I drew out the triangle but I can't seem to find out if it's correct.
\n" ); document.write( "Thanks for any help!\r
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Algebra.Com's Answer #746583 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
you would use the law of sines to find the answer to this question.
\n" ); document.write( "first draw a straight line between the searchers.
\n" ); document.write( "that line is 250 meters long.
\n" ); document.write( "let one end of this straight line be point A.
\n" ); document.write( "let the other end of this straight line be point C.
\n" ); document.write( "draw an angle of 87 degrees from point A.
\n" ); document.write( "draw an angle of 53 degrees from point B.
\n" ); document.write( "the lines will intersect at point C.
\n" ); document.write( "that point is where the cat is.
\n" ); document.write( "your triangle is ACB, where point A is the location of one of the searchers and point C is the location of the cat and point B is the location of the other searcher.
\n" ); document.write( "angle A is 87 degrees, angle C is 40 degrees, angle B is 53 degrees.
\n" ); document.write( "the sum of the angles is 180 degrees, as it should be.
\n" ); document.write( "the length of side AB is 250 meters.
\n" ); document.write( "from there, you can use the law of sines to find the length of the other sides of the triangle.
\n" ); document.write( "the side that is 250 meters long (AB) is called side c because it is opposite angle C.
\n" ); document.write( "the side opposite angle A is called side a.
\n" ); document.write( "the side opposite angle B is called side b.\r
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\n" ); document.write( "\n" ); document.write( "my diagram is shown below:\r
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\n" ); document.write( "\n" ); document.write( "once you've drawn your diagram, then use the law of sines to find the length of the other two sides of the triangle.\r
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\n" ); document.write( "\n" ); document.write( "law of sines says a / sin(A) = b / sin(B) = c / sin(C).\r
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\n" ); document.write( "\n" ); document.write( "i truncated the answers to 5 decimal places in the diagram.
\n" ); document.write( "this allows you to round to 2 or 4 decimal places if required.
\n" ); document.write( "the answered displayed in the calculator are.\r
\n" ); document.write( "\n" ); document.write( "a = 388.3979404
\n" ); document.write( "b = 310.614073\r
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