- #1

Anonymous1135

- 13

- 1

## Homework Statement

A diver explores a shallow reef off the coast of Belize.

She initially swims 90.0 m north, makes a turn to the east

and continues for 200.0 m, then follows a big grouper for

80.0 m in the direction 30° north of east. In the meantime,

a local current displaces her by 150.0 m south. Assuming

Chapter 2 | Vectors 101

the current is no longer present, in what direction and how

far should she now swim to come back to the point where

she started?

## Homework Equations

Answer is 240.2m and 2.2° South of West

## The Attempt at a Solution

Ok so in my attempt I got90.0m N ----------------------------- 90cos90 = 0 90sin0=90

200.0m E -----------------------------200cos200=200 200sin0=0

80.0m 30° North of East------------ 80cos30 = 69.28 80sin30=40

150m S ---------------------------------150cos270=0 150sin270=150

so 269.28i - 20 j

sqrt 269.28^2+20^2 = 270.02 in the direction 4.24° South of North Ive done this problem several time same result I have an idea where the issue is. Any help would be appreciated. This is not a homework question I am just doing some problem to get a head when spring semester starts