5. (40 points) At a given moment a plane passes directly above a radar station at an altitude of 3km. The plane speed is 400km/h. How fast is the distance between the plane and the radar station changing 30 seconds later?
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We are given that the altitude of the radar station is changing at a rate of 30 seconds. However, we need to find the rate at which the altitude of the plane is changing. Show more…
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A plane flying with a constant speed of 300 $\mathrm{km} / \mathrm{h}$ passes over a ground radar station at an altitude of 1 $\mathrm{km}$ and climbs at an angle of $30^{\circ} .$ At what rate is the distance from the plane to the radar station increasing a minute later?
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A plane flying with a constant speed of 330 km/h passes over a ground radar station at an altitude of 3 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
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