A beam hitting the moon

Question

A laser beam (on the Earth) is to be directed toward the center of the moon, but the beam strays 0.5 degrees from its intended path.

a. Sketch a picture of this. Use 240,000 miles as the distance to the center of the moon from the Earth.

b. How far has the bean diverged from its assigned target (the center of the moon) when it reaches the moon (or a perpendicular line to drawn to the center of the moon)?

c. The radius of the moon is about 1000 miles. Will the beam hit the moon?

Answer 1

Draw and label a diagram!

d = 240000 tan 0.5°