# UnTangle without calculator

Geometry Level 2

Given: $\tan 30^\circ = \tfrac13\sqrt 3$ and $\tan 60^\circ = \sqrt 3$.

A certain angle $0 < \theta < 90^\circ$ satisfies $\tan \theta = 11/3$.

Is $\theta$ less than $75^\circ$ or greater than $75^\circ$? Solve this problem without using a calculator.

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