Final answer:
In this case, the helmet must be approximately 12.7 inches away from the straight line drawn between the top of the Main Hoop to the lower end of the Main Hoop Bracing.
Step-by-step explanation:
To determine how far the helmet must be from the straight line drawn between the top of the Main Hoop to the lower end of the Main Hoop Bracing, we can use the given information about the circular hoop made from a 79.5-inch strip of metal.
When a strip of metal is bent into a circular hoop, the circumference of the hoop is equal to the length of the strip.
Given that the strip of metal is 79.5 inches long, we can use the formula for the circumference of a circle to find the radius:
Circumference = 2πr
Substituting the given length of the strip into the formula:
79.5 inches = 2πr
To solve for the radius (r), divide both sides of the equation by 2π:
r = 79.5 inches / (2π)
Now that we have the radius, we can determine the distance between the straight line drawn from the top of the Main Hoop to the lower end of the Main Hoop Bracing.
This distance is equal to the radius of the circular hoop.
Therefore, the distance between the straight line and the helmet is approximately equal to the radius of the circular hoop, which is 79.5 inches / (2π).
To calculate the numerical value, we can use an approximation for π, such as 3.14:
- Distance = 79.5 inches / (2 x 3.14)
- Distance ≈ 12.7 inches
Therefore, the helmet must be approximately 12.7 inches away from the straight line drawn between the top of the Main Hoop to the lower end of the Main Hoop Bracing.
Your question is incomplete, but most probably the full question was:
A 79. 5-inch strip of metal is bent into a circular hoop. A straight line is drawn from one side of the hoop to the other, passing through the center. How far must the helmet be from the straight line drawn between the top of the Main Hoop to
the lower end of the Main Hoop Bracing?