Question

12. Jordan and Missy are standing together in the schoolyard. Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Missy casts a shadow that is 45 inches long. How tall is Missy? A. 38 in B. 86.4 in C. 5 ft D. 5 ft 6 in

Answer 1

D. 5 ft

1) Let's visualize it roughly:

2) We need to convert those units into one unit.

6' = 72" 1 foot corresponds to 12"

Considering that the height of Jordan and Missy produces a perpendicular line, and then we have similar triangles then according to Similarity between triangles we can write:

$\begin{gathered} \frac{jordan}{\text{jordan shadow}}=\frac{Missy}{\text{Missy shadow}} \\ \frac{72}{54}=\frac{x}{45} \\ 54x=72\cdot45 \\ x=60\~\~ \end{gathered}$

3) Converting 60" to feet we know that Missy is 5' tall