document.write( "Question 1207648: Hi, can you please help me solve this problem? Thank you.
\n" ); document.write( "A surveyor wishes to find the distance between two inaccessible points A and B. As shown in the figure, two points C and D are selected from which it is possible to view both A and B. The distance CD and the angles ACD, ACB, BDC, and BDA are then measured. If CD=120~ft, ∠ACD=115°, ∠ACB=92°, ∠BDC=125°, and ∠BDA=100°, approximate the distance AB. \n" ); document.write( "
Algebra.Com's Answer #845629 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here's the drawing, approximately but not exactly to scale.\r\n" );
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document.write( "This is a law of sines and cosines problem.  I'm not going to finish it for you.\r\n" );
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document.write( "These aren't special angles, so you're going to have a lots of long decimals.\r\n" );
document.write( "The more you round off, the less accurate your answer will be.\r\n" );
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document.write( "By subtracting I found the two angles in green.\r\n" );
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document.write( "You have angle-side-angle in triangle CED, so use the law of sines to solve for\r\n" );
document.write( "the other 3 parts of triangle CED.\r\n" );
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document.write( "Then, by subtracting angles find the two acute angles at E. \r\n" );
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document.write( "Then you will have angle-side-angle in each of the triangles ACE and BED,\r\n" );
document.write( "so use the law of sines on triangle ACE to find AE, then again on triangle\r\n" );
document.write( "BED to find BE.\r\n" );
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document.write( "Then for triangle AEB, you will have side-angle-side. That will be\r\n" );
document.write( "AE, angle AEB (same as angle CED), and BE.\r\n" );
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document.write( "and you can then find AB, using the law of cosines on triangle AEB.\r\n" );
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document.write( "Happy solving!\r\n" );
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document.write( "Edwin
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