## Related questions with answers

A plane leaves Seattle, flies $85 \mathrm{mi}$ at $22^{\circ}$ north of east, and then changes direction to $48^{\circ}$ south of east. After flying at $115 \mathrm{mi}$ in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew.

($a$) In what direction and how far should the crew fly to go directly to the field? Use components to solve this problem.

($b$) Check the reasonableness of your answer with a careful graphical sum.

Solution

Verified**Given values**

$r_1=85\,\text{mi}$ - the first displacement of the plane $\alpha_1=22^o$ north of east $r_2=115\,\text{mi}$ - the second displacement of the plane $\beta=48^o$ south of east

**Required**

a) It's necessary to determine the shortest path for a rescue crew to reach the plane b) It's necessary to graphically represent the motion of both the plane and a rescue crew

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