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## Homework Statement

1. Homework Statement

A river is 2 km wide and flows at 6 km/h. A motor boat that has a speed of

20 km/h in still water heads out from one bank perpendicular to the current.

A marina lies directly across the river on the opposite bank. Use Geometric

Vectors to solve this problem.

a. How far downstream from the marina will the boat reach the other bank? (Answer: 0.6 km)

b. How long will it take? (Answer: 6 min)

## Homework Equations

sine and cosine reltions

## The Attempt at a Solution

I've found that the resultant velocity of the boat would be 20.88 km/h, but I am not sure how to find the distance (horizontal) that the boat travells.