A 20-foot-tall flag pole casts a shadow that is 15 feet long. Which of the following correctly uses the Pythagorean Theorem to solve for the distance from the top of the flag pole to the tip of its shadow?(
Let x be the distance from the top of the flag pole to the tip of its shadow.
Using the Pythagorean Theorem, we have:
(20)^2 = x^2 + (15)^2
400 = x^2 + 225
400 - 225 = x^2
175 = x^2
x = √175 = 13.23 (rounded to two decimal places)
Therefore, the distance from the top of the flag pole to the tip of its shadow is approximately 13.23 feet.