Chapter 5.2, Problem 55E

Deviation of a Laser Beam A Laser beam is to be directed toward the center of the moon, but the beam strays $0.5°$ from its intended path.

(a) How far has the beam diverged from its assigned target when it reaches the moon? $\left(\mathrm{T}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{d}\mathrm{i}\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{n}\mathrm{c}\mathrm{e}\mathrm{ }\mathrm{f}\mathrm{r}\mathrm{o}\mathrm{m}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{e}\mathrm{a}\mathrm{r}\mathrm{t}\mathrm{h}\mathrm{ }\mathrm{t}\mathrm{o}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{m}\mathrm{o}\mathrm{o}\mathrm{n}\mathrm{ }\mathrm{i}\mathrm{s}\mathrm{ }240,000 \mathrm{m}\mathrm{i}.\right)$

(b) The radius of the moon is about $1000$ mi. Will the beam strike the moon?