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Suppose you walk 500 m in a direction of 30 degree angle to the southeast. what...

Suppose you walk 500 m in a direction of 30 degree angle to the southeast. what are components of its displacement in a coordinate system oriented in a standard way on the surface of the Earth?
Find the components x, y and z
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Answer #1

the x-component of the displacement Dx = D*cos theta

Dx = 500 m *cos 30 deg

= 433 m

the y-component of the displacement Dy =D*sin theta

Dy = 500 m*sin (-30 deg)

= - 250 m

the z-component of the displacement Dz =0

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