Concept explainers
(a)
In what direction should the captain turn the ship to arrive at the port?
(a)
Answer to Problem 36E
Explanation of Solution
Given information: Navigation: The captain of the Coast Guard Cutter Pendant plans to sail to a port that is 450 miles away and
Calculation:
Observe the given triangle.
The turn angle is opposite to side 450 and 316 is opposite to
Case I, two solutions.
The angle of turn is (in terms of triangle angles) obtuse, so, it is
(b)
How many hours will it take to arrive at the turning point if the captain chooses a speed of 23 miles per hour?
(b)
Answer to Problem 36E
Explanation of Solution
Given information: Navigation: The captain of the Coast Guard Cutter Pendant plans to sail to a port that is 450 miles away and
Calculation:
Observing the given triangle and having calculated the second (turning point) in part (a),
We now find the third angle.
The side opposite is the first leg of the journey,
For the distance d :
The average speed was 23 miles per hour
Thus,
6 hours
(c)
Will the ship reach the port by following this plan, if instead of the plan above, the captain decides to sail 200 miles north, turn through an angle of
(c)
Answer to Problem 36E
No, the ship will not reach the port
Explanation of Solution
Given information: Navigation: The captain of the Coast Guard Cutter Pendant plans to sail to a port that is 450 miles away and
Calculation:
The angle of
Draw a new triangle with new information and calculate the new two other angles of the triangle.
Side of 200 miles is opposite to
And x is the 450 miles distance to the port. Or is it?
Thus,
No, the ship will not reach the port
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning