For five days, several hikers walk the distance and direction described by the vector

⟨5, - 2⟩ each day. The next day, they walk the distance and direction described by the vector ⟨-1, 8⟩. At the end of the six-day trip, what is their bearing from their starting location?

Question

Parker Price

Mathematics

15 October, 17:38

For five days, several hikers walk the distance and direction described by the vector

⟨5, - 2⟩ each day. The next day, they walk the distance and direction described by the vector ⟨-1, 8⟩. At the end of the six-day trip, what is their bearing from their starting location?

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Answers (1)

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Tess Bray · Answer 1

94.76°

Step-by-step explanation:

Assuming the coordinates are, the total distance from the start is ...

5 + = =

These coordinates represent a vector south of east, so the bearing measured clockwise from north will be greater than 90°. The reference angle (with respect to a north-south line) will be ...

arctan (24/2) = 85.24°

The bearing is 180° - 85.24° = 94.76°.

For five days, several hikers walk the distance and direction described by the vector⟨5, - 2⟩ each day. The next day, they walk the distance and direction described by the vector ⟨-1, 8⟩. At the end of the six-day trip, what is their bearing from their starting location?

For five days, several hikers walk the distance and direction described by the vector

⟨5, - 2⟩ each day. The next day, they walk the distance and direction described by the vector ⟨-1, 8⟩. At the end of the six-day trip, what is their bearing from their starting location?