UnTangle without calculator

Geometry Level 2

Given: tan30=133\tan 30^\circ = \tfrac13\sqrt 3 and tan60=3\tan 60^\circ = \sqrt 3.

A certain angle 0<θ<900 < \theta < 90^\circ satisfies tanθ=11/3\tan \theta = 11/3.

Is θ\theta less than 7575^\circ or greater than 7575^\circ? Solve this problem without using a calculator.

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