Question

Two gymnasts are performing a floor routine before an audience. Debbie and Ramona both begin at the starting position. Their locations at the end of their performance are shown on the diagram. Debbie is 32.4 feet from the starting position and Ramona is 40.5 feet away from Debbie. At the end of their performance, how many feet is Ramona from the starting position?

Answer 1

Using the Pythagorean Theorem, it is found that Ramona is 24.3 feet from the starting position.

What is the Pythagorean Theorem?

• The Pythagorean Theorem relates the length of the legs $l_1$ and  $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

In this problem:

• The legs are the distances of each Debbie and Ramona from the starting position, hence $l_1 = 32.4, l_2 = d$.

• The hypotenuse is the distance between Debbie and Ramona, hence $h = 40.5$

Then:

$32.4^2 + d^2 = 40.5^2$

$d^2 = 40.5^2 - 32.4^2$

$d = \sqrt{40.5^2 - 32.4^2}$

$d = 24.3$

Ramona is 24.3 feet from the starting position.

To learn more about the Pythagorean Theorem, you can take a look at https://brainly.com/question/654982

Answer 2

Answer:

24.3 feet

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