Question

A rocket shoot straight up from the launch pad. Five seconds after lift off, an observer 2 miles away notes that the rocket's angle of elevation is 41 degrees. How far did the rocket rise during those 4 seconds?

Answer 1

look at my solution to #2 question (I erroneously called it #1)

the question is identical in structure to yours.
See if you can follow it, then do yours.

Answer 2

Ignore that first reply, it was meant to go elsewhere.

I am assuming that the time of 4 seconds vs 5 seconds is a typo.

let the height be h miles
then tan 41 = h/2
h = 2tan41 = 1.74 miles

Answer 3

oops the question was suppose to read a rocket shoots striaght up from the launch pad. Five seconds after lift off, an observer 2 miles away notes that the rocket's angle of elevation is 3.5 degrees. Four seconds after that, the angle of elevation is 41 degrees. How far did th erocket rise during those four seconds?

Answer 4

ok, simple !

Just repeat the above calculation for 3.5 degrees, the subtract the two answers.