Mathematics and Society - OS X Lion Server

liNIl N"MAN•••y(COIJTllJUED)PROBLEMS-ESTIMATING BODY HEIGHTSHumerusHeight (centimetres)Male(2.894 x length of humerus) + 70.6400.271 x length of radius) + 85.925(1. 880 x length of femur) + 81. 305(2.376 x length of tibia) + 78.663FemaleAnthropologists, using a single bonefrom a human skeleton, can estimate quiteaccurately the height of a man or womanwho lived many centuries ago. Forexample, if an anthropologist finds a27.94 em radius from a caveman, he canestimate the height of the caveman asfollows:(3.271 x 27.94) + 85.925or 177.316 cm. Thus, the man was about180 cm tall.1. A 48 cm femur was found. About howtall was the man?2. The length of a humerus bone from awoman who lived 20,000 years ago is32.25 cm. What would be a goodestimate of the woman's height (tothe nearest centimetre)?3. The skeleton of a Neanderthal manwho lived about 50,000 years agocontained a tibia 38.1 cm long.Give an estimate of the man's height.(2.754 x length of humerus) + 71.4760.343 x length of radius) + 81.224(1. 945 x length of femur) + 72.845(2.352 x length of tibia) + 74.7754. A man is 181 cm tall. Using thetable, accurately estimate the lengthof the bone from the knee joint tothe ankle joint.5. Measure, as accurately as you can,the length of the radius and humerusof an adult and check the accuracyof the table.6. A student's height was found to bethe same as the distance fromfingertip to fingertip when his armswere outstretched. How much doesyour height differ from this distance?7. One student's height in inches was8.7 times the length of his middlefinger measured to the nearesttenth centimetre. How much doesyour height differ from this distance?SOURCE:Investigating School Mathematics, Second Edition, by Robert E. Eicholz, Phares G. O'Dafter,Charles R. Fleenor, Copyright© 1976 by Addison-Wesley Publishing Company, Inc.School Mathematics I, by Robert E. Eicholz, Phares G. Q'Daffer, Charles R. Fleenor,Copyright© 1976 by Addison-Wesley Publishing Company, Inc.All rights reserved. Reprinted by permission.133