A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?

The height of the flagpole is 36 feet

Step-by-step explanation:

The given parameters are;

The height of the street light = 10 feet

The shadow cast by the streetlight = 2.5 feet

The shadow cast by the flagpole = 9 foot

The height of the flagpole is given as follows;

The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)

∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)

By substituting the values, we get;

The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet

The height of the flagpole = 36 feet.