A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles fro

Question

katrin2010 [14]

2 years ago

8

A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles fro

m its starting point, what are the components of the vector s formed by the ship's path?

Mathematics

2 answers:

deff fn [24] · Answer 1 · 2023-05-18T18:25:01+03:00

deff fn [24]2 years ago

7 0

Answer:

Step-by-step explanation:

madreJ [45] · Answer 2 · 2023-05-18T20:36:44+03:00

Answer:

(17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

(17.5√2 miles west, 17.5√2 miles north)

_____

<em>Additional comment</em>

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

(-24.7, 24.7) miles