Sue is in an airplane which travels at a constant 300 kilometers per hour. The angle of climb of the airplane is 30∘. How long (in seconds) would it take from takeoff, before the airplane reaches 3000 meters, when Sue can access Wifi and work on the rest of the weekly problems?

Details and assumptions
FAA regulations allow the use of portable electronic devices in-flight at altitudes 3000 meters and above.

Note: The typical angle of climb of an airplane is 10∘−15∘, so Sue is in a very special plane!

Question

Sue is in an airplane which travels at a constant 300 kilometers per hour. The angle of climb of the airplane is 30∘. How long (in seconds) would it take from takeoff, before the airplane reaches 3000 meters, when Sue can access Wifi and work on the rest of the weekly problems?

Details and assumptions
FAA regulations allow the use of portable electronic devices in-flight at altitudes 3000 meters and above.

Note: The typical angle of climb of an airplane is 10∘−15∘, so Sue is in a very special plane!

anonymous · Answer

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