Answer:
5/12
Explanation:
You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.
Tangent
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...
Tangent = Opposite/Adjacent
Application
The side opposite angle F is GH = 10.
The side adjacent to angle F is FG = 24.
Then the tangent is ...
tan(F) = GH/FG = 10/24
tan(F) = 5/12 . . . . . reduced to lowest terms