The answer is 5.23 ft/second
The way I got this answer was first finding the circumference of the merry-go-round using the equation

, where r represents the radius, which is the distance from the center of a circle.
So your equation should look like this

. I used the rounded term of 3.14 for

Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.
So, 31.4÷6=5.2333...ft/second
And I rounded the answer to the nearest hundredth to get 5.23 feet/second
We simply rearrange the equation to find t:
rt = d
t = d/r
Since the slope of a perpendicular line is facing the opposite angle and intersecting the given line, the slope is going to be the opposite of the given line.
Therefore, the answer is 3.
Best of Luck!