Final answer:
The resultant distance between center bends for a 10-inch offset at a 15-degree angle is calculated using trigonometry. The answer, roughly 38.64 inches, is found by dividing the offset by the sine of the angle (10 inches / sin(15 degrees)).
Step-by-step explanation:
The question asks about the resultant distance between center bends for a 10-inch offset at a 15-degree angle. This is a common question for those who are learning about conduit bending in the context of mathematics related to trades, like electrical work. The calculation involves trigonometry, using the sine function to find the distance between bends.
To find the distance between the center of the bends, also known as the 'travel', you'd use the formula Travel = Offset / sin(Angle). In this instance, with a 10-inch offset and a 15-degree angle, the calculation would be:
Travel = 10 inches / sin(15 degrees)
Using a calculator with sine function capability, we can find that the sin(15 degrees) is approximately 0.2588. Therefore:
Travel = 10 inches / 0.2588 ≈ 38.64 inches
The resultant distance between center bends is approximately 38.64 inches.