If 18 inches is equal to 1 1/2 feet how many feet long is a 36 inch board?
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Answer:
Step-by-step explanation:
The diagram of the scenario is shown in the attached photo.
The shadows of Eden and Jane formed two right angle triangles ABC and DBE. Also, triangle ABC and BDE are similar triangles. Therefore
DE/AC = DB/AB = BE/BC
Let DE be x feet
AC = 5 1/3 = 16/3 feet
BE = 8.5 = 17/2 feet
BC = 8 feet
Therefore
x/(16/3) = (17/2)/8
3x/16 = 17/16
Cross multiplying
3x = 17
x = 17/3
x = 5 2/3
