Question

Who gains altitude more quickly, a pilot traveling 400 mph and rising at an angle of 30°, or a pilot traveling 300 mph and rising at an angle of 40°, ?( Type "x" before the correct statement.) ________ The pilot raising 30° at 400 mph. _________ The pilot raising 40° at 300 mph. Now enter how much more quickly (to the nearest whole mph) does he gain altitude?

Answer 1

The rate of altitude increase is equivalent to the vertical component of the pilot's velocity. Let the first pilot's velocity be A and the second's be B.
Ay = Asin(∅)
Ay = 400sin(30)
Ay = 200 mph

By = Bsin(∅) 
By = 300sin(40)
By = 192.8 mph

200 - 192.8 = 7.2 mph
The first pilot gains altitude faster by 7.2 mph than the second pilot.