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?
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
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