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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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Oblique tracking A ship leaves port traveling southwest at

Chapter 4, Problem 40E

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QUESTION:

Oblique tracking 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 \(\theta\) between the radar station and the ship at 1:30 P.M. (see figure)? (Hint: Use the Law of Sines.)

             

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QUESTION:

Oblique tracking 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 \(\theta\) between the radar station and the ship at 1:30 P.M. (see figure)? (Hint: Use the Law of Sines.)

             

ANSWER:

Solution: Step 1 To find what is the rate of change of the tracking angle between the radar station and the ship at 1:30 P.M.

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