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.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

the answer is 21%.