Answer:
47.75 degrees
Explanation:
The relationship between the angle subtended by an arc on a circle and the length of the arc is given by the formula:
Angle (in radians) = Arc Length / Radius
In this case, you are given the arc length (5 feet) and the radius (6 feet). Plug these values into the formula:
Angle (in radians) = 5 / 6
Now, if you want the angle in degrees, you can use the fact that 1 radian ≈ 57.2958 degrees.
So:
Angle (in degrees) ≈ 5 / 6 × 57.2958
Angle (in degrees) ≈ 47.7465
Therefore, the angle subtending an arc of length 5 feet on a circle with a radius of 6 feet is approximately 47.75 degrees.