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?

Question

mikey · Answer

You can solve this by decomposing the vectors into the x and y components with y=400sin30 and Y=300sin40 for the change in altitudes.

anonymous · Answer

using a calculator?

mikey · Answer

sin30 is 1/2 you probably have to use a calc to find the sin of 40.

anonymous · Answer

okay, then multiple then done?

mikey · Answer

Once you have each Y component, you can compare them to see which one is changing faster.

anonymous · Answer

I got 200 and 192.84

anonymous · Answer

so the first one is faster

mikey · Answer

The first one is gaining altitude faster by just over 7 mph...make sense?

anonymous · Answer

yes, thank you so much for helping!!!  It was a lot more simple in solving than I thought.

mikey · Answer

You bet.

anonymous · Answer

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