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a train slowly climbs a 500 m mountain track which is at an angle of 10 degrees with respect to the horizontal. how much altitude does it gain?

 Sep 2, 2014

Best Answer 

 #1
avatar+130511 
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We know an angle (10 degrees) and the hypoteneuse (500m)..and we're looking for the opposite side (the gain in altitude)....and the trig function that realtes all this is the sine......so we have

sin(10) = opp/500   multiply both sides by 500

500*sin(10) = opposite = about 86.8m = gain in altitude

 

 Sep 2, 2014
 #1
avatar+130511 
+5
Best Answer

We know an angle (10 degrees) and the hypoteneuse (500m)..and we're looking for the opposite side (the gain in altitude)....and the trig function that realtes all this is the sine......so we have

sin(10) = opp/500   multiply both sides by 500

500*sin(10) = opposite = about 86.8m = gain in altitude

 

CPhill Sep 2, 2014

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