Calculating Displacement: Magnitude & Direction of a Car's Motion

[zyzzxbrah]

Homework Statement

A car travels north with a velocity of 5.2-m/s for 92-seconds. It then turns east, and with the same speed travels for a further 22-seconds. Calculate the magnitude of the final displacement of the car.

Now give the direction of the final displacement of the car. Give your answer in degrees North of East.

Homework Equations

pythargaros

The Attempt at a Solution

Hi i have calculated the magnitude (492m) by doing 5.2 x 92 and 5.2 x 22 and using pythagaros

For the 2nd part (direction in degrees). I did tan^-1(114.2/478.4) and got 13 degrees. this was wrong

 

[BvU]

Hello Zbrah, welcome to PF !

13 degrees North of East ?

 

[zyzzxbrah]

Hello Zbrah, welcome to PF !

13 degrees North of East ?

I wrote that in my answers, but it was wrong :(

 

[BvU]

Make a little drawing. You'll immediately see the difference between 13 degrees North of East and 13 degrees East of North...