Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.

Question

Mathematics

Maia Travis

15 May, 07:51

Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.

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Answers (1)

Know the Answer?

Joshua Sheppard · Answer 1

10 feet

Step-by-step explanation:

It becomes a right-angled triangle with height of 8feet and base of 6feet.

Using Pythagoras theorem:

a² = b² + c²

a² = 8² + 6²

a² = 64 + 36

a² = 100

a = √100

a = 10