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Sagot :
Anthropologists use tables to estimate people´s height according to their bones' length, sex, and race. This female was about 5 ft, 7.96 in in height.
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Anthropologists use different tables to estimate the potential height of a person, according to sex and race.
These calculations are done using the length of particular bones, such as the femur, tibial, fibula, ulna, humerus, and radius.
These tables guide you in how to perform these calculations.
In the case of a female with African ancestors, and whose femur length is known, the equation to get her height is as follows:
h(x) = 2.28(x) + 59.76 cm ± 3.41
x = femur length
h = height
In the exposed example, we know that the female's femur is 49.5 cm long.
So the height must be,
h₍₄₉.₅₎ = 2.28 (49.5 cm) + 59.76 cm ± 3.41 = 112,86 + 59.76 cm ± 3.41 = 172.62 ± 3.41 cm.
[tex]\\ hx = 2.28 (49.5 cm) + 59.76 cm +/- 3.41 = 112,86 + 59.76 cm +/-3.41 = 172.62 +/- 3.41 cm.[/tex]
The woman was 172.62 +/- 3.41 cm in height.
Now, we need to convert this result into feet and inches units.
We konw that,
- 1 feet = 12 inches = 30.48 cm
- 1 cm = 0,393701 inches = 0,0328084 feet
- 1 inch = 0.083 feet = 2.54 cm
→ Female's height in feet
[tex]\\ 1 cm ------------------------- 0,03281 feet[/tex]
[tex]\\ 172.62 cm -----------------X = 5.6636 feet[/tex]
[tex]\\ 1 cm ------------------------- 0,03281 feet[/tex]
[tex]\\ 3.41 cm----------------------X = 0.11188 feet[/tex]
The woman was 5.6636 +/- 0.112 feet in height.
→ Female's height in inches
[tex]\\ 1 cm ------------------------- 0,3937 inches[/tex]
[tex]\\ 172.62 cm -----------------X = 67.9605 inches[/tex]
[tex]\\ 1 cm ------------------------- 0,3937 inches[/tex]
[tex]\\ 3.41 cm----------------------X = 1.3425 inches[/tex]
The woman was 67.9605 +/- 1.3425 inches in height.
→ Female's height in feet and inches
[tex]\\ 1 cm ------------------------- 0,03281 feet[/tex]
[tex]\\ 172.62 cm -----------------X = 5.6636 feet[/tex]
[tex]\\ 1 feet ---------------------- 12 inches[/tex]
[tex]\\ 0.6636 feet -------------X = 7.9632 inches[/tex]
[tex]\\ 1 cm ------------------------- 0,3937 inches[/tex]
[tex]\\ 3.41 cm----------------------X = 1.34 inches[/tex]
The woman was 5 feet, 7.96 inches +/- 1.34 inches in height.
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Related link: https://brainly.com/question/11519831?referrer=searchResults
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