You are on a fishing boat that leaves its pier and heads east. After traveling for 25 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S40°W for 13.5 miles.  a. At this time, how far are you from the boat’s pier? Round to the nearest tenth of a mile. b. What bearing could the boat have originally taken to arrive at this spot?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 5ECP
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You are on a fishing boat that leaves its pier and heads east. After traveling for 25 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S40°W for 13.5 miles. 
a. At this time, how far are you from the boat’s pier? Round to the nearest tenth of a mile.

b. What bearing could the boat have originally taken to arrive at this spot?

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