SOLUTION: Starting at coordinates (26.5, 38.5), you fly a distance of 17.5 at an absolute bearing of 296 degrees. What are your new coordinates? Round to hundredths

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Question 1025482: Starting at coordinates (26.5, 38.5), you fly a distance of 17.5 at an absolute bearing of 296 degrees. What are your new coordinates? Round to hundredths
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+360+-+296+=+64+
( this is minus 64 degrees in 4th quadrant )
+tan+%28+64+%29+=+2.0503+
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I can call the x-value +x
and the y-value +-2.0503x+
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The distance equation is:
+17.5%5E2++=+%28+38.5+-%28-2.0503x+%29+%29%5E2+%2B+%28+26.5+-+x+%29%5E2+
+306.25+=+1482.25+%2B+157.873x+%2B+4.2037x%5E2+%2B+702.25+-+53x+%2B+x%5E2+
+306.25+=+5.2037x%5E2+%2B+104.837x+%2B+2184.5+
+5.2037x%5E2+%2B+104.837x+%2B+1878.25+
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You can solve this, then find
+x+ and
+-2.0503x+
and that will by ( x,y ) co-ordinates in 4th quadrant