Initial velocity of projectile given angle and max height

[ulfy01]

Homework Statement

A projectile was fired across level ground at an initial angle of 43.00 degrees above the horizontal. During its flight, it reached a maximum height of 2974 metres. What was the initial speed of this projectile?

Homework Equations

I assume that the correct equation to use is V_y² = V_0y² - 2g(y - y₀).

The Attempt at a Solution

To be honest I'm not even sure how to go about it. Given the equation, I would rearrange for V_0y² however that doesn't seem to work at all. I'm not even sure what the value of V_y has to be. I also suspect the angle comes into play, but I'm not sure what it can tell me. Any pointers greatly appreciated.

 

[CAF123]

Your method is correct.
At the top of the flight, there is no vertical component of velocity, so $v_y = 0$ there. You are also correct that the angle is involved. Indeed, $v_o\sinθ= v_{oy}$ and it is this $v_o$ that you are solving for.

 

[ulfy01]

You're a life savior. It's this vo sinθ= voy that I wasn't able to get to. I got the answer right. Thank you so much!