A rocket is fired at an angle of 18.5 ° with the ground from a point 1670 m directly behind an observer. Shortly later the rocket is observed at an angle of elevation of 33.5 ° directly in front of and above the observer. How far on a direct line has the rocket moved?

Answer 1

Not enough to go on.

Depending on the initial speed, the rocket could be almost anywhere, on its way up or down, at a variety of heights.

If the initial speed was v, then you have the parabola and line

y = -1.112/v^2 x^2 + 0.335x
y = 0.662(x-1670)

The value of v can change everything.