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Assuming that the mast is vertical and that the deck is flat Pythagoras's Theorem can be used. We need the square root of ({20x20} + {6x6}) The square root of 436 is 20.88, surprisingly similar to the mast height.

In practice many decks are not flat and some have an upsweep towards the bow. The rigging wire (forestay) will not usually go down to the deck proper as it will be attached to the bow roller fitting, stemhead roller or whatever the term for it is in your country. Some yachts have a swept back mast which will affect the calculations. Another variation is to have a "Baby Stay". This is like a forestay but joins the mast about halfway up. Its purpose is the bend the mast slightly in order to improve the shape of the mainsail.

Note that sailing a boat fast creates tremendous tension in the rigging and it is common for alloy masts to get metal fatigue and cracks at the mast head. Amazingly it is possible to hire expert yacht riggers who will TIG weld the cracks in-situ. A crane and a bosuns chair are used.

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