I am 5'2 and cast a shadow 3' long. My friend casts a shadow 3' 5" long. How tall is he?

3 answers

use a proportion:

62"/36"=h/43"

the trick here is the units, get them common units,no mixed units.
5 2/12 ** x
------ = --------
**3*** ** 3 5/12

3 x = (31/6)(41/12)
x = 5.88 feet or 5 feet 10 1/2 inches
Convert to inches, then use a ratio.
5'2' = 62"
3' = 36"
3'5" = 41"

62:36 = x:41

62/36 = x:41

Cross multiply and solve for x.