Question

A 6-foot tall man is standing in front of a school and notices his shadow measures 10 feet. At the same time, he notices a nearby flagpole casts a shadow that measures 85 feet. How tall is the flag pole ?

Answer 1

Answer: 51ft

Explanation:

We can solve this problem using proportions. Let's denote the height of the flagpole as "h."

According to the given information, the height of the man is 6 feet, and his shadow is 10 feet. Similarly, the shadow of the flagpole is 85 feet.

We can set up the following proportion:

(man's height) / (man's shadow) = (flagpole's height) / (flagpole's shadow)

Using the given values, we can substitute them into the proportion:

6 / 10 = h / 85

Cross-multiplying, we have:

6 * 85 = 10 * h

510 = 10h

Dividing both sides by 10:

h = 510 / 10

h = 51

Therefore, the height of the flagpole is 51 feet.