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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