Aperson walks in the following pattern: 2.4 km north, then 1.9 km west, and finally 4.7 km south. (a) how far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?

a) Figure attached

b) For this case w have that A =(2.4 km)j, B= (-1.9 km) i , C= (-4.7 km)j

And the final position vector can be calculated adding the 3 vectors like this:

We can find the magnitude of s like this:

And then we can find the angle with this formula:

The other possibility is

And since they want the angle measured from East the correct angle would be

Step-by-step explanation:

Part a

On the figure attached we have the vectors for the pattern described.

Part b

For this case w have that A =(2.4 km)j, B= (-1.9 km) i , C= (-4.7 km)j

And the final position vector can be calculated adding the 3 vectors like this:

We can find the magnitude of s like this:

And then we can find the angle with this formula:

The other possibility is

And since they want the angle measured from East the correct angle would be

42.4

step-by-step explanation:

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pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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