document.write( "Question 1168194: An overhead crane is suspended from a ceiling by two chains. One chain is 4.6 m long and forms an angle of 60^\circ with the ceiling. The other chain is 6.4 m long. What angle does the larger chain make with the ceiling? \n" ); document.write( "

Algebra.Com's Answer #851378 by ikleyn(52837) $\"\"$ $\"About$

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\n" ); document.write( "An overhead crane is suspended from a ceiling by two chains. One chain is 4.6 m long
\n" ); document.write( "and forms an angle of 60° with the ceiling. The other chain is 6.4 m long.
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document.write( "Let 'a' be the angle which the larger chain makes with the ceiling.\r\n" );
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document.write( "Angle 'a' is opposite to the 4.6 m side;  angle 60° is opposite to the 6.4 m side.\r\n" );
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document.write( "Use the sine law\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From this equality\r\n" );
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document.write( "    sin(a) =  =  = 0.622455759.\r\n" );
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document.write( "Therefore, angle 'a' is\r\n" );
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document.write( "    'a' = arcsin(0.622455759) = 38.4956896 degrees.\r\n" );
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document.write( "ANSWER.  Angle 'a' is approximately 38.5°.\r\n" );
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document.write( "CHECK.  We see that the greater angle (60°) is opposite to the longer side (6.4 m), \r\n" );
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document.write( "         which is consistent with Geometry. \r\n" );
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