# Thread: Shuttle Height

1. ## Shuttle Height

An observer 2.5 miles from the launch pad of a space shuttle launch measures the angle of elevation to the base of the shuttle 25 degrees soon after lift-off. How high is the shuttle at that instant?

(Assume the shuttle is still moving vertically.)

2. ## Re :

Originally Posted by magentarita
An observer 2.5 miles from the launch pad of a space shuttle launch measures the angle of elevation to the base of the shuttle 25 degrees soon after lift-off. How high is the shuttle at that instant?

(Assume the shuttle is still moving vertically.)

Try apply some basic trigonometry . Perhaps draw a triangle diagram to make it easier .

The observer is 2.5 miles away and the angle of elevation from the launch pad to the shuttle's base is 25 degree.

3. ## then........

Originally Posted by mathaddict
Try apply some basic trigonometry . Perhaps draw a triangle diagram to make it easier .

The observer is 2.5 miles away and the angle of elevation from the launch pad to the shuttle's base is 25 degree.
Is the set up:

tan25 = height of shuttle/2.5 miles?

4. ## Re :

Originally Posted by magentarita
Is the set up:

tan25 = height of shuttle/2.5 miles?

Yes ..