A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it started. What is the plane's displacement?

Respuesta :

You can use the Pythagorean theorem to solve this problem.
Along the x-axis, displacement is 190km 
Along the y-axis, displacement is 80km

x² + y² = r²
[solve for r]
r = √((190)² + (80)²)
r = 206.16km 

tanθ = (y/x)
[solve for θ]
θ = tan⁻¹(80/190)
θ = 22.83°

Therefore, displacement of plane is 206.16 km 22.83° north of east
or 
206.16 km 67.17° east of north

Answer:

67.17° east of north

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