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Question: 1 / 400

For a 30-degree offset system with a travel length of 20 inches, what is the run and offset?

15-1/8 run, 10 offset

17-5/16 run, 10 offset

To find the run and offset for a 30-degree offset based on the given travel length, understanding the geometric principles of offsets is key. When calculating offsets, trigonometric functions, specifically the sine and cosine functions, are applied.

In a 30-degree offset, the travel length is essentially the hypotenuse of a right triangle formed by the run and offset. Here, the run can be calculated by using the cosine function, while the offset can be calculated using the sine function.

For a 30-degree angle in a right triangle:

- The run (adjacent side) is calculated as:

\[

\text{Run} = \text{Travel Length} \times \cos(30^\circ) = 20 \text{ inches} \times \frac{\sqrt{3}}{2} \approx 17.32 \text{ inches}

\]

- The offset (opposite side) is calculated as:

\[

\text{Offset} = \text{Travel Length} \times \sin(30^\circ) = 20 \text{ inches} \times \frac{1}{2} = 10 \text{ inches}

\]

Thus, the run

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17 run, 12 offset

20 run, 10 offset

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