A plane heading S21°E with an an air speed of 375 mph encounters a wind blowing due east at 28 mph. a. Express the velocity of the plane vp relative to the air and the velocity of the wind vw in terms of i and j. Round components to 1 decimal place.   b. Find the velocity of the plane relative to the ground vg and the speed of the plane relative to the ground. Round the speed to the nearest mph.   c. Find the bearing of the plane relative to the ground. Round to the nearest tenth of a degree.

Trigonometry (MindTap Course List)
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Chapter3: Additional Topics In Trigonometry
Section3.1: Law Of Sines
Problem 46E: A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given...
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A plane heading S21°E with an an air speed of 375 mph encounters a wind blowing due east at 28 mph.

a. Express the velocity of the plane vp relative to the air and the velocity of the wind vw in terms of i and j. Round components to 1 decimal place.

 

b. Find the velocity of the plane relative to the ground vg and the speed of the plane relative to the ground. Round the speed to the nearest mph.

 

c. Find the bearing of the plane relative to the ground. Round to the nearest tenth of a degree.

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