What Is the Ground Speed of a Plane with a North Wind?

[Euler2718]

Homework Statement

The compass in a plane indicates that the plane is pointed due east; its air speed indicator reads 212 km/hr. There is a steady wind blowing from the north with a speed of 60.0 km/hr. What is the speed of the plane with respect to the ground?

Homework Equations

$$\sqrt{c^{2}_{x} + c^{2}_{y} } = |c|$$

I think

The Attempt at a Solution

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I tried setting up a right triangle but nothing works. Can someone point me in the right direction, I'm very frustrated.

 

[RUber]

What are you using for c_x and c_y in your equation? That appears to be the right way to approach this problem.

 

[Euler2718]

What are you using for c_x and c_y in your equation? That appears to be the right way to approach this problem.

Yeah the online submission was broken. The answer was 220 km/hr, but it would only take 219 km/hr as the answer. All good now.