Question 619512: Can you help me solve this question? This is the only question that I can't solve out of my homework.
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?
Answer by jim_thompson5910(35256) (Show Source):
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
So
cos(angle) = adjacent/hypotenuse
cos(32) = x/100
100*cos(32) = x
x = 100*cos(32)
x = 100*0.848048096156426
x = 84.8048096156426
x = 84.8 (round to the nearest tenth)
Therefore, the force in the direction of the track is roughly 84.8 pounds
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