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.

11 feet 6 inches and 8 feet 6 inches

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you