An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)    A.  The speed is 179.82 miles/hour, and the direction angle is 100.60°.  B.  The speed is 179.82 miles/hour, and the direction angle is 349.40°.  C.  The speed is 196.77 miles/hour, and the direction angle is 115.60°.  D.  The speed is 196.77 miles/hour, and the direction angle is 349.40°.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)
 
 A. 
The speed is 179.82 miles/hour, and the direction angle is 100.60°.
 B. 
The speed is 179.82 miles/hour, and the direction angle is 349.40°.
 C. 
The speed is 196.77 miles/hour, and the direction angle is 115.60°.
 D. 
The speed is 196.77 miles/hour, and the direction angle is 349.40°.
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