(a)
To find: The distance between the fisherman’s home port and Forrest Island.
(a)
Answer to Problem 45E
The distance between the fisherman’s home port and Forrest Island is
Explanation of Solution
Given:
The below figure shows the distance between the fisherman’s home port and Forrest Island.
Figure (1)
Formula used: Law of Cosines.
Calculation:
Draw a line between forrest island and home port.
Figure (2)
Substitute
Simplify the above expression by taking square root to each side,
Thus, the distance between the fisherman’s home port and Forrest Island is
(b)
To find: The bearing from Forrest Island back to his home port.
(b)
Answer to Problem 45E
The bearing from Forrest Island back to his home port is
Explanation of Solution
Given:
The figure,
Figure (1)
Formula used: Law of Sines.
Calculation:
Substitute
Simlify the above equation,
The bearing from Forrest Island to Egg Island is
The bearing from Forrest Island back to his home port is the difference of the angle
Thus, the bearing from Forrest Island back to his home port is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th 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