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a.
What angle should the captain turn to head directly to Barbados?
a.
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Answer to Problem 45AYU
Explanation of Solution
Given information:
A cruise ship maintains an average speed of 15 knots in going from San Juan, Puerto Rico, to Barbados, West indies, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan in a direction of
Through what angle should the captain turn to head directly to Barbados?
Calculation:
For finding the angle
Since the ship is moving at a constant speed of 15 knots for 10 hours, the distance travelled by the ship up to the point of turning will be
We know two sides and the included angle of the triangle. By using the Law of Cosines,we can find the third side
Take square root on both the sides.
For finding the angle
We know the three sides of the triangle. So , use the Law of Cosines to find A.
From the figure,
Hence, the ship should be turned through an angle of about
b.
How much time the ship will take to reach after the turn is made?
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 45AYU
Explanation of Solution
Given information:
A cruise ship maintains an average speed of 15 knots in going from San Juan, Puerto Rico, to Barbados, West indies, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan in a direction of
Once the turn is made, how will it be before the ship reaches Barbados if the same 15-knot speed is maintained? After taking for
Calculation: travelling is the distance divided by the speed.
Hence, the ship will take 30.8 hr to reach after the turn is made.
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Precalculus Enhanced with Graphing Utilities
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