Problem

A rigger rigging a load needs to calculate the length of the sling. The distance from the load to the hook is $4850 \mathrm{~mm}$. The distance from lifting point to lifting point is $5200 \mathrm{~mm}$.
Calculate the length of the sling required to lift the load. Round to the nearest millimetre.

Answer

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Answer

Final Answer: The length of the sling required to lift the load is \(\boxed{7111}\) millimetres.

Steps

Step 1 :We are given that the distance from the load to the hook is \(4850 \mathrm{~mm}\) and the distance from lifting point to lifting point is \(5200 \mathrm{~mm}\).

Step 2 :We need to calculate the length of the sling required to lift the load. This can be done using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 3 :Applying the Pythagorean theorem, the length of the sling (the hypotenuse) can be calculated as the square root of the sum of the squares of the distances from the load to the hook and from lifting point to lifting point.

Step 4 :Substituting the given values, we get \(\sqrt{{4850^2 + 5200^2}}\)

Step 5 :Calculating the above expression, we get approximately 7110.731326663946 millimetres.

Step 6 :Rounding to the nearest millimetre, we get 7111 millimetres.

Step 7 :Final Answer: The length of the sling required to lift the load is \(\boxed{7111}\) millimetres.

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