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43

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PAGE: 183SET: ExercisesPROBLEM: 43
Please look in your text book for this problem Statement

A plane passes over a ground radar station at an altitude of km.

Speed of the plane is km/h.

The plane is climbing at an angle of radians.

Assume the radar is located at point .

The plane is located at an altitude of km is located at point .

After min, the plane climbs at an angle of  is located at point .

Observe the figure,

km.

Assume and .

Speed of the plane is km/h.

Total angle at is .

Apply cosine rule to the above triangle.

.

Substitute corresponding values in above expression.

Find distance traveled by the plane in one minute.

Distance.

.

Substitute in .

Consider  .

Disorientate on each side with respect to .

Substitute , and .

Distance from the plane to the radar station is increasing at km/h.

Distance from the plane to the radar station is increasing at km/h.



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