2) An Airplane is ascending at a speed of 400 km/hr along a line making an angle of 60' with the
ground. How fast is the altitude of the plane changing?

The altitude is increasing at a rate of 346.61 km/hr.

The diagram below denotes the given scenario.

Then from the diagram we have,

Then,

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The altitude is changing at a speed of 200 √3 km/hr

Step-by-step explanation:

Here, we want to know how far the altitude of the plane is changing

we are told that the airplane makes an angle of 60 degrees with the ground

So therefore , the rate of change of its altitude will be ;

sin 60 = x/ 400

x = 400 sin 60

x = 400 * √3/2

x = 200 √3 km/hr