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Question

A dog walks 120m due east, then turns and runs 60m west. An interesting smell attracts the dog, and it trots 40m due north. At this point the dog is 85m northeast of his home. The dog hears his master call him and he runs directly home. Which part of the trip is the largest vector?

A
The eastward leg
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B
The westward leg
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C
The northward leg
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D
The distance from home
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E
The distance to home
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Solution

The correct option is A The eastward leg
Dog's trip due east =120m
Dog's trip due west =60m
Dog's trip due north =40m
it is clear that the eastward leg is the largest vector.

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