Vector Components HW: Find Distance/Dir from Lake B to Base Camp

[xswtxoj]

Homework Statement

A plane flies from base camp to lake A, a distance of 280km, at a direction of 20 degrees north of east. After dropping thr supplies, it flies to lake B which is 190km and 30 degrees west of north from lake A. Determine the distance and direction gtom lake B to the base camp

Homework Equations

Axcos theta
Bysin theta

r= Sq rt (X^2 + y^2)

tan - theta = y/x

The Attempt at a Solution

280 cos 20 = 263
280 sin 20 = 95.8

190cos -30 = 184.5
190sin -30 = -95

I tried to add up the components but it doesn't end up being the rigth answer from the book.

 

[Coto]

Perhaps recalculate those numbers. In particular what is 190*cos(-30)?

 

[dx]

Did you draw a diagram? What did you get for the x and y components of the final vector?