The Rock Climbing Calc provides some useful formulas for rock climbing and Height as a function of time to drop.other activities related to scaling and measuring heights.
This calculator provides some simple computations for estimating the height of an elevation (cliff, bridge, building). The two methods are base on:
Height by Angle Measurements: Computes the elevation or height based on two angle reading on a plane separated by a distance.
Rock Climbing Fall Factor: Compute the fall factor based on the distance the climber is above the last piece of protection and thus the half the distance of a potential fall, and the length of rope between the belay point and the climber.
The latter is more accurate but requires a devices to measure the angles and the distances between the observation. A protractor and weighted string can be used to measure the angles, and a standard tape-measure can be used to compute the distance between observations. The first method only requires a stop watch.
Height as a function of observation angles
This calculator, Rock Climbing Calc, references 4 pages