After leaving the runway, a plane's angle of ascent is 16 degree and its speed is 267 feet per second. How many minutes will it take for the airplane to climb to a height of 12,500 feet?

The time taken for the airplane to climb to a height of 12,500 feet is 2.83 minutes.

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.

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