Final answer:
The trigonometric ratio that has the value of 12/5 is the cosine ratio (cos). To determine this, we can use the equation cos(theta) = adjacent/hypotenuse, where theta is the angle between the ladder and the rough floor.
Step-by-step explanation:
The trigonometric ratio that has the value of 12/5 is the cosine ratio (cos).
To determine this, we can use the equation cos(theta) = adjacent/hypotenuse, where theta is the angle between the ladder and the rough floor.
In this case, the adjacent side is 12 feet (the length of the wall) and the hypotenuse is 13 feet (the length of the ladder).
So, cos(theta) = 12/13. Therefore, the trigonometric ratio that has the value of 12/5 is cos(theta).