document.write( "Question 619512: Can you help me solve this question? This is the only question that I can't solve out of my homework.\r
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document.write( "A force of 100 pounds pulls a car on a track and makes an angle of 32 degrees with the track. To the nearest tenth, what is the force, in pounds, in the direction of the track? \n" );
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Algebra.Com's Answer #389684 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Draw out the problem, and you'll see that a right triangle forms with an angle of 32 degrees and the hypotenuse is 100. We want to find the unknown adjacent side\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(angle) = adjacent/hypotenuse\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(32) = x/100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100*cos(32) = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 100*cos(32)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 100*0.848048096156426\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 84.8048096156426 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 84.8 (round to the nearest tenth)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the force in the direction of the track is roughly 84.8 pounds \n" ); document.write( " |