Math Help - Distance/Rate/Time Triangle problem

A bullet is fired into the air at an angle of 45 degrees. How long does it take to reach a height of 1000 feet
if the bullet is traveling at 2,828 ft per ser second? (Assume that the bullet travels in a straight line;
neglect the forces of gravity, and give your answer to the nearest foot)

OK, I got so far that the distance traveled was 1414 ft (this is a 45-45-90 triangle and the square root of 2 times 1000 gives you 1414 when you round). And I'm thinking this is a distace/rate/time problem simply now,
so wouldn't that mean 1414/2828 = .5? t=.5

well yes, it will be .5 second