# Components of Vectors

## Homework Statement

Finn is lost in the woods, trying to find his way back home which he knows is 7.00 km at a 120.0° angle from his current location. He decides to travel 2.00 km at a 40.0° angle followed by another 5.00 km at a 100° angle.

1) What is his current location using a km coordinate plane system and assuming that (0,0) was his starting location?

2) Using information from the previous question, what new vector should Finn plot to get himself home?

## The Attempt at a Solution

1) current location: 2cos40 + 5cos100 = 0.664
2) new vector: 7cos120 - 0.664 = -4.16

can someone please explain to me why you use cosine and those specific numbers together?

SteamKing
Staff Emeritus
Homework Helper

## Homework Statement

Finn is lost in the woods, trying to find his way back home which he knows is 7.00 km at a 120.0° angle from his current location. He decides to travel 2.00 km at a 40.0° angle followed by another 5.00 km at a 100° angle.

1) What is his current location using a km coordinate plane system and assuming that (0,0) was his starting location?

2) Using information from the previous question, what new vector should Finn plot to get himself home?

## The Attempt at a Solution

1) current location: 2cos40 + 5cos100 = 0.664
2) new vector: 7cos120 - 0.664 = -4.16

can someone please explain to me why you use cosine and those specific numbers together?
Have you made a sketch of this problem? That should go a long way to showing you what these distances are.

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