With this in mind, draw a circle P.
Draw the diameter of the circle.
Now Label the points that are formed A and E
Now draw a ray from point P that crosses the circle at point B such that APB=24 degrees.
Now draw a ray from point P that crosses the circle at point D such that DPE=24 degrees (this line needs to be on the same side of the diameter as ray PB)
Now draw a line connecting points B and D
That line represents a side view of Lattitude 24
Now draw a line that's perpindicular to AE and intersects BD at point C
Notice that that line is also perpindicular to BD
Thus PCD is 90 degrees
And CPD is 66 degrees.
And you know that PD is 6370km
Thus CD is sin(66) times 6370km
Note that CD is the radius of the circle formed at 24 degrees north.
Thus the radius is 6370sin(66) which equals approximately 5819km