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Viktor [21]
3 years 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:
damaskus [11]3 years ago
5 0

Setting the coordinate system: positive x points to the east and positive y points to the north. This can be solved by vector addition.

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

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

The displacement that needs to return him is by the vector -R.

Therefore, <1.72, -80.25>


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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