What is the angle and displacement of the plane?

AI Thread Summary
The discussion focuses on calculating the angle and displacement of an airplane detected by a radar station. Initially, the plane is 412 meters away at a 40° angle above the horizon, and it is tracked for an additional 123° in the vertical plane, reaching a final range of 810 meters. To find the displacement, relevant equations involving trigonometry and vector analysis are applied. The magnitude and direction of the displacement are sought, requiring a detailed breakdown of the calculations. A visual representation of the scenario is also suggested to aid in understanding the problem.
mathnerd21

Homework Statement


In the figure below, a radar station detects an airplane approaching directly from the east. At first observation, the range to the plane is d1 = 412 m at 40° above the horizon. The airplane is tracked for another 123° in the vertical east–west plane, the range at final contact being d2 = 810 m. Find the displacement of the airplane during the period of observation.
magnitude ______ meters
direction ______° (counter-clockwise from east)
 
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Please fill out the entire homework template including relevant equations and your attempt at solving the problem.

It would also be helpful if you attached the figure referred to in the problem.
 
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