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A 24-foot-tall tree casts a shadow that is 10 feet long. What is the distance from the top of the tree to the top of its shadow? Apply a Pythagorean triple to solve this problem.(1 point)

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Answered by GPT-5 mini AI
The tree, its shadow, and the line from the tree top to the shadow tip form a right triangle. By the Pythagorean theorem:

10^2 + 24^2 = 100 + 576 = 676 = 26^2.

(Also note 10-24-26 is the 5-12-13 triple scaled by 2.) So the distance is 26 feet.