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uranmaximum [27]
3 years ago
10

ladder leans against a 15-foot-tall building to form a right triangle. The ladder is placed so it is 8 feet from the base of the

building. What is the length of the ladder?
Mathematics
2 answers:
Elena L [17]3 years ago
8 0

Answer with Step-by-step explanation:

This problem can be modeled as a right angled triangle with base(distance between ladder and building) 8 feet and  height(Height of building) 15 feet.

We have to find the hypotenuse(Length of the ladder).

We use the Pythagorean theorem:

Hypotenuse²=Base²+Height²

Hypotenuse²=8²+15²

                    = 64+225

                    = 289

                    = 17²

⇒ Hypotenuse=17

Hence, Length of the ladder is:

17 feet

Andru [333]3 years ago
7 0
17ft
15^2 +8^2 = x^2
hope this helps
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