Question

A flagpole casts a shadow that is 85 feet long. Paul is 6 feet tall, and while standing next to the flagpole, casts a shadow that is 10 feet long. How tall is the flagpole? Show your work and label your answer.

Answer 1

Answer:

51m

Step-by-step explanation:

-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:

-Using ratios:

$\frac{Height\ of \ object}{Height\ of \ shadow}$

Let h be the height of the flagpole:

$=>\frac{6}{10}=\frac{h}{85}\\\\h=\frac{6\times 85}{10}\\\\h=51$

Hence, the height of the pole is 51m