Question

A 7-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 11 feet long. How tall, in feet, is the utility pole?what do I do for this problem?

Answer 1

Both shadows are proportional, se we can use a rule of three to find the answer

7 ft tall creates a 2 ft shadow, x tall utility pole creates a 11 ft shadow:

$\frac{7}{2}=\frac{x}{11}\Longrightarrow x\text{ = }\frac{7\cdot11}{2}=\frac{77}{2}=38.5$

Answer:

38.5 ft