Suzanne looked across the sky one afternoon and saw a rainbow. She estimated that she was seeing a rainbow that had a radius of about 1500 feet and that she could see about 210 degrees of the arc. Estimate the length of th is visible rainbow above the horizon to the nearest foot

1750pift OR 5500ft?

5458 I mean?

5498** Sorry.

To estimate the length of the visible rainbow above the horizon, we can use the formula for the circumference of a circle. The formula for the circumference (C) of a circle is given by C = 2πr, where r is the radius.

In this case, Suzanne estimated the radius of the rainbow to be about 1500 feet. Therefore, we can calculate the circumference of the rainbow by substituting this value into the formula:

C = 2πr
C = 2 * 3.14 * 1500
C ≈ 9420 feet

So, if the rainbow is a complete circle, it would have a circumference of approximately 9420 feet. However, Suzanne mentioned that she could see about 210 degrees of the arc. To estimate the length of the visible rainbow above the horizon, we need to calculate what portion of the full circumference this represents.

The full circle has 360 degrees, so we can set up a proportion to find the length of the visible rainbow:

210 degrees / 360 degrees = x / 9420 feet

To solve for x (the length of the visible rainbow), we can cross-multiply and then divide:

360 * x = 9420 * 210
x ≈ (9420 * 210) / 360
x ≈ 5500 feet

Therefore, the estimated length of the visible rainbow above the horizon is approximately 5500 feet.