# Physics

A plane leaves Seattle, flies 79.0 at 22.0 north of east, and then changes direction to 48.0 south of east. After flying at 123 in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew.

In what direction should the crew fly to go directly to the field? Use components to solve this problem.

Let x be east and y be north.

The total x displacement is
x = 79 cos 22 + 123 cos 48

The total y displacement is
y = 79 sin 22 - 123 sin 48

Compute these numbers. y/x will be the tangent of the angle one must go. y will be negative, and x positive, so it will be south of east by that amount

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1. 26.7

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2. -0.0582

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