Vector Displacement Magnitude Calculation

[kelli]

Homework Statement

After driving 80.0 km west, a car turns southwest and proceeds another 30.0 km. What is the displacement of the car from the point of origin (magnitude only)?

Homework Equations

The Attempt at a Solution

I tried drawing this out. I am given no angles, does this mean i add the vectors in head to tail fashion. or do i use trig and additon of vector components? please help. I am not asking for the answer just steps/explanations.

 

[berkeman]

Homework Statement

After driving 80.0 km west, a car turns southwest and proceeds another 30.0 km. What is the displacement of the car from the point of origin (magnitude only)?

Homework Equations

The Attempt at a Solution

I tried drawing this out. I used trig to find out the x and y components. my resultant was 84 however the answer is wrong. I just don't know how to find the angles. I can do vector problems, but I've never done one without a given angle.

Welcome to the PF.

Please show us your work so we can find the error...