document.write( "Question 1110389: A bushwalker walks 8 km on a bearing of 116 degrees from L to M, then proceeds to walk a further 13km to N on a bearing of 026 degrees.
\n" ); document.write( "a) calculate his distance from L, correct to the nearest km.
\n" ); document.write( "b) find his bearing from L, correct to the nearest degree
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Algebra.Com's Answer #725592 by Boreal(15235)\"\" \"About 
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If this is drawn out, it is a right triangle with LMN being a right angle.
\n" ); document.write( "One leg is 8, the other 13 and the hypotenuse is sqrt (233) or 15.26 km distance.
\n" ); document.write( "The bearing is tangent of L, which is two parts, known 26 degrees south of east plus another component north of east. That combined tangent is 13/8, opposite over adjacent, or 1.625. The arc tan (1.625) is 58.39 deg, making the missing angle 32.39 north of east or true bearing of 57.61 deg.
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