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Calhoun295

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## Homework Statement

A primate research station attaches a tiny radio transmitter to a chimpanzee born in captivity before releasing it into the wild. One day, the station picks up a signal indicating the chimp is 5000 m from the station in a direction 21° S of W. Over the next day, the chimp wanders 3000 m in a direction 38° N of E. At this point,

(a) how far from the station and

(b) in what direction (as a positive angle measured counterclockwise from east) is the chimp? (Hint: Take east as the +x direction, and north as the +y direction.)

## Homework Equations

A

_{x}= A cos θ

A

_{y}= A sin θ

__For Magnitude__

[tex]\stackrel{\rightarrow}{r}[/tex] = [tex]\sqrt{A^{2}_{x} + A^{2}_{y}}[/tex]

__For Direction__

θ tan

^{-1}[tex]\frac{A_{y}}{A_{x}}[/tex]

## The Attempt at a Solution

(a) 2303 m

(b) What does it mean?

I use the direction equation but that's not correct. I had to do with counterclockwise direction that I do not know how to do.

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