Projectile motion, Cat jumping off table

[epsilonaught]

Homework Statement

A cat jumps off of the table with a velocity vi at an angle θ. The table is h meters tall. How far away from the table is the cat?
V(x) = ViCosθ
V(y) = ViSinθ

Homework Equations

I first solved for time using 0 = Xi + Vit +1/2a(t^2)

The Attempt at a Solution

I got time as
t = V_iSinθ-√(V_i²Sinθ² + 2gh) / g But my teacher got a answer slightly different. Am I solving for time the write why? I think so. If not, What am I missing? Thanks

 

[rl.bhat]

The negative sign should be positive in the expression of t.