A coastal patrol boat capable of a maximum speed of 25 km/h sights suspected boat 8 km away due 180°. The suspected boat is travelling at 30 km/h on a course of 320°. In which direction must the patrol boat steer in order to intercept the suspect as soon as possible? How long will it take to intercept the suspected boat?

A coastal patrol boat capable of a maximum speed of 25 km/h sights suspected boat 8 km away due 180°. The suspected boat is travelling at 30 km/h on a course of 320°. In which direction must the patrol boat steer in order to intercept the suspect as soon as possible? How long will it take to intercept the suspected boat?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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A coastal patrol boat capable of a maximum speed of 25 km/h sights
suspected boat 8 km away due 180°. The suspected boat is travelling at
30 km/h on a course of 320°. In which direction must the patrol boat
steer in order to intercept the suspect as soon as possible? How long will
it take to intercept the suspected boat?

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