document.write( "Question 742668: you walk 4 miles at 30° and then 2 miles at 135°. what is the distance of your location from the starting point \n" ); document.write( "

Algebra.Com's Answer #452622 by stanbon(75887) $\"\"$ $\"About$

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you walk 4 miles at 30° and then 2 miles at 135°. what is the distance of your location from the starting point
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\n" ); document.write( "Draw the picture on a coordinate system.
\n" ); document.write( "Label the triangle ABC where A is the origin, AB is the 4 mile length,
\n" ); document.write( "BC is the 135 degree line, CA is the distance from origin to final position.
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\n" ); document.write( "Sketch a vertical line thru B to the x-axis at point X.
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\n" ); document.write( "Angle ABX has to be 60 degrees.
\n" ); document.write( "Angle ABC has to be 180-60-45 = 75 degrees.
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\n" ); document.write( "Use the Law of Cosines to solve for CA.
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\n" ); document.write( "CA^2 = 4^2 + 2^2 - 2*4*2cos(75) = 17.929
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\n" ); document.write( "CA = 4.23 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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