Answer:
The time taken for the airplane to climb to a height of 12,500 feet is 2.83 minutes.
Step-by-step explanation:
Given that,
Angle of the plane of ascent,

Initial speed of the plane, u = 267 ft/s
We need to find the time taken for the airplane to climb to a height of 12,500 feet. First lets find the vertical speed of the plane.

Let t is the time taken for the airplane to climb to a height of 12,500 feet. The speed of an object is given by :

So, the time taken for the airplane to climb to a height of 12,500 feet is 2.83 minutes. Hence, this is the required solution.