Finding the average velocity of a car traveling at different speeds and angles

[Intrusionv2]

Homework Statement

A car travels east at 95 km/h for 1.5 hours. It then travels 30.0° east of north at 111 km/h for 1.8 hours.

What is the average velocity for the trip? (Magnitude and degrees)

Homework Equations

law of cosines/resultant

The Attempt at a Solution

I have tried doing this:
d=95² + 111² - 2(85*111)cos60 = 110km
v=110km / 3.3 hr = 33.1 m/s

for the angle...
tanx = Bsinx/ a + bcosx = 111sin60/95+111cos60 = 0.638
x = 32.5 north of east

Both of these were wrong...any help please??

 

[diazona]

d=85² + 111² - 2(85*111)cos60 = 170.23km

You have basically the right idea to use the law of cosines, but this step is wrong. If you include the units in the calculation, you will see why.

 

[Intrusionv2]

You have basically the right idea to use the law of cosines, but this step is wrong. If you include the units in the calculation, you will see why.

Nvm, I see now.