document.write( "Question 1184124: This is an easy trigonometry question, but I have trouble to understand it. Can someone please explain the question with diagrams? Because I think I can understand it better if I have a diagram in my mind. \r
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\n" ); document.write( "On a slope, a railway rises 35cm for every 50m of track. Find the angle at which the track is inclined to the horizontal, correct to 2 decimal places. The answer in the textbook says 0.40 degrees. \n" ); document.write( "

Algebra.Com's Answer #814663 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Make a sketch.\r\n" );
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document.write( "In the sketch, 35 cm = 0.35 m  is the rise (vertical leg of the right angled triangle).\r\n" );
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document.write( "50 m is the hypotenuse.\r\n" );
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document.write( "Hence, the sine of the angle   \" a \"  under the problem's question is  \r\n" );
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document.write( "    sin(a)  =  = 0.007.\r\n" );
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document.write( "Hence,  the angle \"a\"  is  \r\n" );
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document.write( "    a = arcsin(0.007) = use calculator = 0.007 radians =  = \r\n" );
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document.write( "      =  = use your calculator, again = 0.4 degrees.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and thoroughly explained.\r
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