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A ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point 129 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

Question

A ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point 129 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

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Step 1

The sketch of the given situation is shown below.

Destination
133km
d
129km
Starting point
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Destination 133km d 129km Starting point

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Step 2

The distance that we n...

(133km) +(129km
d
185.28km
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(133km) +(129km d 185.28km

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Science

Physics

Vectors and Scalars

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