A student who is 5 1/4 feet tall has a shadow that is 2 feet and 10 1/2 inches long. At the same time. a flag pole has a shadow that is 10 1/2 feel long. How tall, to the nearest inch, is the flag pole?

The height of the flag pole is approximately 19 feet and 2 inches.

Step-by-step explanation:

Let suppose that length of the shadow of the object is directly proportional to its height. Hence:

Where:

- Height of the object, measured in inches.

- Shadow length of the object, measured in inches.

- Proportionality constant, dimensionless.

Now, let is find the value of the proportionality constant: ( and )

Then,

The equation is represented by . If , then:

The height of the flag pole is: (, )

The height of the flag pole is approximately 19 feet and 2 inches.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

$79500

step-by-step explanation: