A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the distance from the radar to the plane is 50 km and the rate the radar is moving is π/30 radians per minute upward. If the altitude and speed of the aircraft are constant, find the aircraft's speed and altitude.
A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the distance from the radar to the plane is 50 km and the rate the radar is moving is π/30 radians per minute upward. If the altitude and speed of the aircraft are constant, find the aircraft's speed and altitude.
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 radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the distance from the radar to the plane is 50 km and the rate the radar is moving is π/30 radians per minute upward. If the altitude and speed of the aircraft are constant, find the aircraft's speed and altitude.
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