To find:The distance from the boat to the shoreline.
Answer to Problem 46E
The distance from the boat to the shoreline is
Explanation of Solution
Given information:
A boat is travelling due east parallel to the shoreline at a speed of 10 miles per hour. At a given time, the bearing to a lighthouse is
Calculations:
Drawing the given scenario,
Here, A is the boat’s starting point and B is the boat’s position after 15 minutes. C is the position of lighthouse located at the shoreline.
If the boat travels at a speed of 10 miles per hour (60 minutes), then after 15 minutes, it would have travelled
Thus, in
Using this,
Using law of sines
Conclusion:
Therefore, the distance from the boat to the shoreline is
Chapter 6 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning