Final answer:
The run length of a 45-degree offset with a travel of 40" is approximately 28.28 inches, calculated by dividing the travel distance by the square root of 2.
Step-by-step explanation:
To find the run length of a 45 degree offset with a travel of 40", we need to apply the principles of right triangle trigonometry. An offset forms a right triangle where the travel distance is the length of the hypotenuse, and the run (horizontal distance) and the rise (vertical distance) are the two legs of the triangle that meet at a right angle. When the offset angle is 45 degrees, the run and rise are equal.
Using the Pythagorean theorem, or recognizing that for a 45-degree right triangle the legs are equal, we can calculate the run (or rise) directly:
run = travel / √2
So, with a given travel of 40":
run = 40" / √2
= 40" / 1.414
= 28.28" (approximately)
The run length for this 45-degree offset is therefore approximately 28.28 inches.