A ship leaves port traveling southwest at a rate of 12 mi/hr. At noon, the ship reaches

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A ship leaves port traveling southwest at a rate of 12 mi/hr. At noon, the ship reaches its closest approach to a radar station, which is on the shore 1.5 mi from the port. If the ship maintains its speed and course, what is the rate of change of the tracking angle θ between the radar station and the ship at 1:30 p.m.
(see figure)? Use the Law of Sines.

1.5 mi- Radar station Port 45° Point of closest approach to radar station Southwest course

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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