Question

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?

Answers

Steve
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.

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