Question

On a sunny day, Eden and Jane noticed that their shadows were of different lengths. Jane measured Eden's shadow and found that it was 8 feet long. Eden then measured Jane's shadow and found that it was 8.5 feet long. If Eden is 513 feet tall, how tall is Jane?
5 5/12 feet
5 1/2 feet
5 2/3 feet
5 3/4 feet

Answer 1

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