Oasis B is located 25 km east from oasis A. A camel starts from oasis A and trav

Question

Oasis B is located 25 km east from oasis A. A camel starts from oasis A and travels 19.6 km in the direction 14.7 degrees south of east. Then it walks 8 km directly to the north. How far is the camel from oasis B?

Please explain how and why for each steps: I need to know the reasons, so I can learn it. Thanks!

And is my graph right?

Oasis B is located 25 km east from oasis A. A camel starts from oasis A and travels 19.6 km in the direction 14.7 degrees south of east. Then it walks 8 km directly to the north. How far is the camel from oasis B? Please explain how and why for each steps: I need to know the reasons, so I can learn it. Thanks! And is my graph right?

Explanation / Answer

B=25i

A=19.6cos14.7 i -19.6sin14.7 j
=18.96 i -4.97 j

now walks 8 km to north
A'=18.96 i -4.97j + 8j
=18.96 i + 3.03 j

net distance from B
d=B-A'
=25i -18.96 i - 3.03 j
=6.04 i - 3.03 j

thus magnitude of net distance
|d|=sqrt(6.04^2 + 3.03^2)
=6.76 km

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