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# 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?

A

${\angle ABG}$

B

${\angle ACG}$

C

${\angle ADG}$

D

${\angle AEG}$

E

${\angle AFG}$