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Tasya
1 month ago
9

An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees nort

h of west, then 50 steps due south.Assume his steps all have equal length. Save him from becoming hopelessly lost in the jungle by giving him the displacement, calculated using the method of components, that will return him to his hut. ...?
Mathematics
1 answer:
lawyer [12.1K]1 month ago
5 0

By establishing a coordinate system where positive x is east and positive y is north, this can be addressed through vector addition.

A = <40cos(45), 40sin(45)>
B = <-60cos(60), 60sin(60)>
C = <0, -50>

R = A + B + C yields <-1.72, 80.25>

Thus, the necessary vector to return him home is -R.

Resulting in <1.72, -80.25>


I trust this response has been beneficial. Thank you for your question here. We look forward to addressing more of your inquiries in the future. Wishing you a pleasant day!

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