According to the Human Factors Design Handbook, average height-to-inseam ratio is 45% and 50% is considered long-legged. We know M is freakishly long-legged, so let’s assume M has the 50% ratio, and Z’s 4% lower at 48%, which is still above average. That makes Z’s inseam (measured to the floor) 33.1″, and M’s 39″.

]]>So if we define K=L/H, where L is leg length and H is total height, Zeina’s height is given by

H_z = H_m * (K_m/K_z)/1.175

Assumption: knees do not exist

A person’s stride length is determined by

(1) ` D = 2`

*L*sin(theta/2)

where

D is stride length

L is leg length

theta is “stride angle,” the angle formed between the person’s legs at full stride

Total distance covered (X) is your stride length (D) multiplied by total number of steps (N). We also know you covered the same distance.

(2) `X = D * N`

(3) `X_m = X_z`

(3.1) `D_m * N_m = D_z * N_z`

(4) `2 * L_m * sin(theta_m/2) * 4,000,000 = 2 * L_z*sin(theta_z/2) * 4,700,000`

Assumption: Your stride angles were negligibly close during the trip. I happen to know Mike takes big old strides on purpose, but still: assumption.

(5) theta_m = theta_z

So we can simplify (4) to

(6) `L_m * 4,000,000 = L_z * 4,700,000`

(6.1)` L_m/L_z = 4,700,000/4,000,000`

(6.2) `L_m/L_z = 1.175`

So Mike’s leg’s oughta be 17.5% longer than Z’s legs. If we assume you’re equally proportioned, and Mike is 6’6″, that means that Z is 5’6.4″ tall.

]]>A joke: Hear about the Maori playing Dancing Queen on his didgeridoo? That’s Aboriginal!

Oh, my … Entirely too much fun at your expenses! Must return to Real Life, and do the blessed taxes! Sending love! Mom/Kitty ]]>