XD03.13 Industrial Rigging And Signaling Practice Exam

In the given hoist geometry, what is the value of D1?

8 feet 12 feet 4 feet 7 feet

Correct Answer:

8 feet

Explanation:

D1 is the horizontal leg in a right-triangle relationship formed by the hoist line, the vertical drop, and the ground run. The given geometry provides the vertical distance and the length of the hoist line (the hypotenuse of that triangle). Using the Pythagorean theorem, the horizontal distance is D1 = sqrt(hyp^2 − vertical^2). If the diagram shows a vertical drop of 6 feet and a hoist line of 10 feet, then D1 = sqrt(10^2 − 6^2) = sqrt(100 − 36) = sqrt(64) = 8 feet. So, D1 is 8 feet. This same approach works for any other numbers in the diagram: identify the right triangle, apply the Pythagorean relationship, and solve for the horizontal leg.

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