A man walking briskly in, rain with spee...

A man walking briskly in, rain with speed v must slant his umbrella forward making an angle `theta` with the vertical. A student derives the following relation between `theta`and v, `tantheta` = v and checks that the relation has a correct limit: as `v rarr 0, theta rarr -0`, as expected.. (We are assuming there is no strong wind and that the rain falls vertically for a stationary man). Do you think this relation can be correct? If not, guess the correct relation.

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