Vectors help: airplane & wind: find resultant speed, direction

marklarocque

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9.4.19. An airplane has an airspeed of 460 km/hr bearing 46 degrees north of east. The wind velocity is 50 km/hr in the direction 28 degrees north of west. Find the resultant velocity representing the path of the airplane with respect to the ground.

a. What is the actual ground speed of the aircraft?
b. What is the actual direction of the aircraft relative to due east?
 
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9.4.19. An airplane has an airspeed of 460 km/hr bearing 46 degrees north of east. The wind velocity is 50 km/hr in the direction 28 degrees north of west. Find the resultant velocity representing the path of the airplane with respect to the ground.

a. What is the actual ground speed of the aircraft?
b. What is the actual direction of the aircraft relative to due east?
What are your thoughts?

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I keep getting confused when trying to find the angle of direction.
Okay; this makes it sound as though you've found the ground speed, and you're having a spot of difficulty with the angle. So please reply showing what you've done so far and, after we've seen where things are going wrong, we'll reply with help, hints, lesson links, or whatever else seems needful.

Please be complete. Thank you! ;)
 
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