Coby and Christina are sailing a boat and get caught in rough weather. They begin sailing at a speed of 7 miles per hour at an angle of 45 degrees. At that moment, the current and the wind both begin to push the sailboat. The current has a speed of 5.6 miles per hour at an angle of 240 degrees. The wind as a vector could be written as -35i+65j in miles per hour. What direction do they end up sailing in? Write your answer in degrees and round to 2 decimal places. Leave your answer in exact form until the final step.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter7: Triangles
Section7.2: The Law Of Cosines
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Coby and Christina are sailing a boat and get caught in rough weather. They begin sailing at a speed of 7 miles
per hour at an angle of 45 degrees. At that moment, the current and the wind both begin to push the sailboat.
The current has a speed of 5.6 miles per hour at an angle of 240 degrees. The wind as a vector could be written
as -35i+65j in miles per hour.
What direction do they end up sailing in? Write your answer in degrees and round to 2 decimal places. Leave
your answer in exact form until the final step.
Direction for all angles in this problem should be measured from the positive x-axis in a counterclockwise
direction.
Transcribed Image Text:Coby and Christina are sailing a boat and get caught in rough weather. They begin sailing at a speed of 7 miles per hour at an angle of 45 degrees. At that moment, the current and the wind both begin to push the sailboat. The current has a speed of 5.6 miles per hour at an angle of 240 degrees. The wind as a vector could be written as -35i+65j in miles per hour. What direction do they end up sailing in? Write your answer in degrees and round to 2 decimal places. Leave your answer in exact form until the final step. Direction for all angles in this problem should be measured from the positive x-axis in a counterclockwise direction.
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