A 10-inch offset at 30 degrees is being made. What is the distance between center-to-center bends?

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Multiple Choice

A 10-inch offset at 30 degrees is being made. What is the distance between center-to-center bends?

Explanation:
In an offset with a given angle, the offset distance forms the side opposite the bend angle in a right triangle, while the distance between the centerlines of the bends is the hypotenuse. So the center-to-center distance equals the offset divided by the sine of the angle. Compute: 10 inches / sin(30°) = 10 / 0.5 = 20 inches. Therefore, the distance between center-to-center bends is 20 inches. Using cosine would give about 11.6 inches, and using tangent would give about 17.3 inches, neither of which match the correct geometry.

In an offset with a given angle, the offset distance forms the side opposite the bend angle in a right triangle, while the distance between the centerlines of the bends is the hypotenuse. So the center-to-center distance equals the offset divided by the sine of the angle.

Compute: 10 inches / sin(30°) = 10 / 0.5 = 20 inches.

Therefore, the distance between center-to-center bends is 20 inches. Using cosine would give about 11.6 inches, and using tangent would give about 17.3 inches, neither of which match the correct geometry.

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