162.3 meters
Draw a diagram for the problem. You will
have a right triangle with a base of 75.0 m and an angle of 65.0
degrees. You want the opposite side of the triangle x. Using the law of
tangents, you have the following
x/75.0 = tan(65)
x = 75.0 * tan(65)
x = 75.0 * 2.144507
x = 160.8 meters
So now you know that the rocket went 160.8 meters above your eye. But
your eye isn't at ground level, it's 1.50 meters higher. So add 1.50
meters to the 160.8, giving you 162.3 meters.
