Answer:
[tex]\boxed{F.\:\:\frac{24}{7} }[/tex]
Step-by-step explanation:
The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.
This implies that;
[tex]\tan(74\degree)=\frac{Opposite}{Adjacent}[/tex]
The length of the side opposite to the 74 degree angle is 24 units.
The length of the side adjacent to the 74 degree angle is 7 units.
We substitute these values into the formula to obtain;
[tex]\tan(74\degree)=\frac{24}{7}[/tex]
The correct answer is option F
