A rocket rising straight up into the air is being tracked by a radar station located 20 miles from the point on the ground directly below the rocket. When the angle of elevation (the angle between the horizontal and the line of sight to the rocket) is π/3, the angle is increasing at a rate of 0.05 radians per second. Find the velocity of the rocket at that instant (in miles per hour)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 37CT
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A rocket rising straight up into the air is being tracked by a radar station located 20 miles from the point on the ground directly below the rocket. When the angle of elevation (the angle between the horizontal and the line of sight to the rocket) is π/3, the angle is increasing at a rate of 0.05 radians per second. Find the velocity of the rocket at that instant (in miles per hour).

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