Moderate# Greatest Tangent

ACTMAT-JJYY44

The figure below shows shadows from a light post ($ {\overline { AG } } $) cast by the sun at different elevations during various times of the day (as represented by $\overline { AB }$, $\overline { AC } $, $ \overline { AD } $, $ \overline { AE } $, and $ \overline { AF }$).

Of the angles listed below (which are created by the rays of the sun and the shadows produced), which angle’s tangent is the greatest?