An airplane, flying at an altitude ofy= 4.7 miles, is on a flight path that passes directly over an observer (see figure). Ifθis the angle of elevation from the observer to the plane, find the distance from the observer to the plane for each value ofθ.

theta = 30 degrees

I just want to know if this is the right way to solve this problem:

sin(30 deg) = 4.7/x

x = 1/2

4.7/(1/2) 9.4 miles

Thanks