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I'm not sure of the exact distance on my boom the vang bale is attached, but the vang is close to 45 degrees, so that means that the distance from the gooseneck to the bale on the boom is equal to the distance from the gooseneck to the bale on the mast.
Don is right. The distance from the bale on the mast to the boom gooseneck is about the same distance as from the boom gooseneck to the bale on the boom. If you remember your 10th grade geometry, what you have is a bilateral right triangle, with the equal legs on the boom and mast. The vang is the "c" leg.
Notice: The advice given on this site is based upon individual or quoted experience, yours may differ. The Officers, Staff and members of this site only provide information based upon the concept that anyone utilizing this information does so at their own risk and holds harmless all contributors to this site.