Which formula is used to determine the sling length when you only know the hook height and the distance from the center of gravity to the pick point?

The correct formula for determining the sling length when only the hook height and the distance from the center of gravity to the pick point are known is the Pythagorean theorem, represented by A² + B² = C². This formula applies to right-angled triangles, which is a common scenario in rigging situations where you have the vertical height (A) and the horizontal distance from the center of gravity to the pick point (B).

In this context:

• A represents the vertical distance from the hook to the pick point, which is usually the hook height.
• B represents the horizontal distance from the center of gravity to the pick point.
• C represents the length of the sling, which is the hypotenuse of the triangle formed.

By applying the Pythagorean theorem, you can calculate the required sling length accurately to ensure the load is lifted safely and effectively. This approach allows riggers to assess the geometry of the lift and ensure that all angles and distances are taken into account, ultimately contributing to safe rigging practices.

The other formulas listed do not apply properly to the problem posed. The other options represent different mathematical relationships that do not reflect the correct relationships between the distances involved in this rigging scenario.