14. A ship travels at a bearing of 50° at 35 mph for 2 hours. It changes course to a bearing of 130° and travels 4 hours at 30 mph. Find the distance the ship is from its point of origin and its bearing from the original position.
14. A ship travels at a bearing of 50° at 35 mph for 2 hours. It changes course to a bearing of 130° and travels 4 hours at 30 mph. Find the distance the ship is from its point of origin and its bearing from the original position.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
Problem 4ECP
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Transcribed Image Text:14. A ship travels at a bearing of 50° at 35 mph for 2 hours. It changes course
to a bearing of 130° and travels 4 hours at 30 mph. Find the distance the
ship is from its point of origin and its bearing from the original position.
Expert Solution
Step 1
Given that first a ship travels at a bearing of 50° at 35 mph for 2 hour,
i.e the ships travels a total distance of 70 miles at a bearing of 50° .
Then the ship changes its path to a bearing of 130° an travels 4 hours at 30 mph.
i.e the ship travels a total distance of 120 miles after changing its direction to a bearing of 130°.
We get to the following diagram from the above information-
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