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1. A ship leaves a port A and sails on a bearing of N38° E for 2.5 hours to get to port C. It then turns and sails on a bearing of S52º E for 5 hours to end up at port B. The ship travels at a constant speed of 20 knots (nautical miles per hour) throughout the entire trip. a) Carefully label the diagram with all information given. Draw the line connecting port A and B. A b) What are the lengths of a and b in nautical miles? Round to nearest tenth if applicable.

1. A ship leaves a port A and sails on a bearing of N38° E for 2.5 hours to get to port C. It then turns and sails on a bearing of S52º E for 5 hours to end up at port B. The ship travels at a constant speed of 20 knots (nautical miles per hour) throughout the entire trip. a) Carefully label the diagram with all information given. Draw the line connecting port A and B. A b) What are the lengths of a and b in nautical miles? Round to nearest tenth if applicable.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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1. A ship leaves a port A and sails on a bearing of N38° E for 2.5 hours to get to port C. It then turns and sails on a bearing of S52° E for 5 hours to end up at port B. The ship travels at a constant speed of 20 knots (nautical miles per hour) throughout the entire trip. a) Carefully label the diagram with all information given. Draw the line connecting port A and B. C A B b) What are the lengths of a and b in nautical miles? Round to nearest tenth if applicable. c) Is the triangle formed when A and B are connected with a line an acute, obtuse, or right triangle? Explain how you know. d) Find c, the distance that the ship must travel in order to get back to the port A. Round to nearest tenth. e) How long will it take the ship to return to port A from port B? Round answer to nearest tenth of an hour. f) On what bearing would the ship sail from port B, in order to get back to port A? Clearly label the bearing. Round angle to nearest tenth of a degree.
Transcribed Image Text:1. A ship leaves a port A and sails on a bearing of N38° E for 2.5 hours to get to port C. It then turns and sails on a bearing of S52° E for 5 hours to end up at port B. The ship travels at a constant speed of 20 knots (nautical miles per hour) throughout the entire trip. a) Carefully label the diagram with all information given. Draw the line connecting port A and B. C A B b) What are the lengths of a and b in nautical miles? Round to nearest tenth if applicable. c) Is the triangle formed when A and B are connected with a line an acute, obtuse, or right triangle? Explain how you know. d) Find c, the distance that the ship must travel in order to get back to the port A. Round to nearest tenth. e) How long will it take the ship to return to port A from port B? Round answer to nearest tenth of an hour. f) On what bearing would the ship sail from port B, in order to get back to port A? Clearly label the bearing. Round angle to nearest tenth of a degree.
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