It takes 3.31 minutes the airplane to climb to a height of 14,000 feet
Explanation:
Angle with horizontal = 15°
Velocity of plane = 272 feet per second angle of ascent is 15 degrees
Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s
Vertical velocity = 70.40 ft/s
Vertical displacement = 14000 ft
We have
Vertical displacement = Vertical velocity x Time
14000 = 70.40 x Time
Time = 198.87 seconds = 3.31 minutes
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet