Aperson on earth is observing the moon which is 238,860 miles away. the moon is a diameter of 2160 miles. what is the angle in degrees spanned by the moon's image in the eye of the beholder?
angle =

We assume that the problem above involves right triangles, wherein the diameter of the moon would be the height and the distance from Earth would be the base. By finding the desired angle, we used the tangent function:

tan (theta) = 2160 / 238860
theta = tan -1 *( 2160 / 238860) = 0.516 degrees

Therefore the angle in the eye of the beholder would be half a degree.