document.write( "Question 844938: While An is walking on a straight road running east-west from A to B. which are 10km apart, she sees a church in the distance. The bearing from A to the church is N48E and from B the church is at a bearing of N67W. Find the distance from A to the church. \n" ); document.write( "
Algebra.Com's Answer #509010 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the only way i could solve this was through the use of the law of sines.
\n" ); document.write( "the attached diagram shows you the situation.
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\n" ); document.write( "i had to assume she was walking from west to east.
\n" ); document.write( "otherwise the church would not have been able to be located.
\n" ); document.write( "i translated N48E and N67W based on the information supplied in the following link:
\n" ); document.write( "http://www.co.ottertail.mn.us/gis/degrees.php
\n" ); document.write( "RT4DP means rounded to 4 decimal places.
\n" ); document.write( "i'm assuming this is a trigonometry problem.
\n" ); document.write( "i couldn't figure out how to solve it without using trigonometry.
\n" ); document.write( "i did verify that the answer is correct by using the law of cosines to solve for the distance after all sides were measured using the law of sines.
\n" ); document.write( "The law of cosines confirmed that the length of line segment b was done correctly.\r
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