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1) You want to put up a basketball hoop in your backyard, Regulation height for the basketball hoop is 10 feet
or 120 inches. After a couple of attempts at guessing the correct height and checking, you decide to use
shadows to estimate the height. You are 68 inches tall, and your shadow is 62 inches long. You are
standing 41 inches from the pole and the tip of your shadow coincides with the tip of the basketball hoop's
shadow as shown in the diagram below. To the nearest foot, what is the height of the basketball hoop?
SRT.1.2 (6 points)

Sagot :

Facundo3141592idn

By using the known relations for similar triangles, we will see that the height of the basketball hoop is H = 113 ft.

How to find the height of the basketball hoop?

In this situation, you and your shadow make a similar triangle to the one that makes the basketball hoop and its shadow.

This would mean that the quotients between the sides must be the same, so:

The quotient between your height and your shadow's length must be the same as the quotient between the hoop's height and its shadow's length.

  • Your height is 68 in
  • Your shadow is 62 in long.

You are at 41 in from the pole, and your shadow coincides with the shadow of the pole, so the length of the pole's shadow is:

41in + 62in = 103 in

And we define H as the height of the basketball hoop.

So we have that:

H/103in = 68in/62in

H = (68in/62in)*103in = 112.97 in

Rounding to the nearest foot, the height is 113ft.

If you want to learn more about triangles, you can read:

https://brainly.com/question/14285697

Amclendon23idn

Answer: The actual answer is 120 inches have a nice day (:

Step-by-step explanation:

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