Question 818686: [ You're aircraft is traveling at a horizontal speed of 7738 feet per minute (fpm). An obstacle is 6 nautical miles (Nm) from the point where you lift off the runway. If your rate of climb is 777 fpm, what altitude will you be at when you reach the obstacle? ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! distance to obstacle from takeoff point:
(6 Nm) * (6076 ft / Nm) = 36456 ft
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s = d / t
t = d / s
d = s * t
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time to reach the obstacle from takeoff point:
t = d / s
t = (36456 ft) / (7738 ft / min)
t = 4.7112949 min
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aircraft altitude at the obstacle:
d = s * t
d = (777 ft / min) * (4.7112949 min)
d = 3661
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answer:
your aircraft's altitude over the obstacle will be 3661 ft
NOTE: this assumes that wind speed is zero.
NOTE: for non-zero wind speed the calculation changes significantly.
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