Parameters:
(1) total length of the ladder
(2) length of the ladder’s overhang above the contact point
(3) distance that the base is from the wall
(4) distance along the ladder at the time of the fall (must be <= total length of the ladder minus the overhang)
height of the contact point =
= SQRT((((length of the ladder) – (overhang))^2) – ((distance of ladder base from wall)^2)
SIN(angle of ladder at the base) =
= (height at contact point) / ((length of ladder) – (overhang))
If the person is a certain distance along the ladder, then the height at that point is:
height at point on the ladder =
= (distance along the ladder) * SIN(angle of the ladder)
= (distance along the ladder) * (height of contact point) / ((length of ladder) – (overhang)
