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**1. Homework Statement**

A projectile is launched at 750 meters per second at a 30 degree angle to the horizon. How long is it in the air? How far does it go? What is the maximum height that it reaches?

**2. Homework Equations**

Sin(30)=1/2

Cos(30)=sqrt(3)/2

**3. The Attempt at a Solution**

This is what I have so far. I believe I successfully solved for the time it was in the air, as well as how far it traveled (I used the method from Khan Academy, rather than my professor's method, since all he gave us were a bunch of equations and didn't explain which one gave what), and I came out with these answers. It would be super helpful if I could get confirmation on whether I'm correct or not. Now, the thing I'm stuck at is how high the projectile must be at its highest. I assume this means that it needs to be at the halfway point of the total displacement, but I don't know where to go from there.