SOLUTION: an airplane takes off at a 12 degree angle and travels at a rate of 240ft/sec. how long does it take for the plane to reach an altitude of 10000 ft?

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Question 518661: an airplane takes off at a 12 degree angle and travels at a rate of 240ft/sec. how long does it take for the plane to reach an altitude of 10000 ft?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an airplane takes off at a 12 degree angle and travels at a rate of 240ft/sec. how long does it take for the plane to reach an altitude of 10000 ft?
:
We can solve this as a right triangle, the path of the plane is the hypotenuse (p)
the height is the side opposite the angle of 12 degrees, use the sine
Sine(12) = 10000%2Fp
.2079p = 10000
p = 1000%2F.2079
p = 48,097.34 ft
Find the the time to travel this distance at 240 ft/sec
t = 48097.34%2F240
t = 200.4 seconds, 3 min 20.4 sec to reach an altitude of 10000 ft