Question

A plane flying with a constant speed of 14 km/min passes over a ground radar station...

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 11 km and climbs at an angle of 35 degrees. At what rate is the distance from the plane to the radar station increasing 4 minutes later?

The distance is increasing at ________________________ km/min.

Hint: The law of cosines for a triangle is

c2=a2+b2−2abcos(θ)

where θ

is the angle between the sides of length a and b.

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