Question 798206: When an airplane leaves the runway, its angle of climb is 17° and its speed is 345 feet per second. How long will it take the plane to climb to an altitude of 10,000 feet? 16,000 feet?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When an airplane leaves the runway, its angle of climb is 17° and its speed is 345 feet per second. How long will it take the plane to climb to an altitude of 10,000 feet? 16,000 feet?
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Draw the picture.
You have a right triangle with base angle = 17 degrees
and side opposite = 10,000 ft.
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Find the hypotenuse:
sin(17) = 10,000/hypotenuse
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hypotenuse = 10,000/sin(17) = 34,203.04 ft
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time = 34,203.04/345 = 99.14 seconds = 1 minute 39.14 seconds
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Note: Follow the same procedure for 16,000 ft.
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Cheers,
Stan H.
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