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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?

User Neta
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8.2k points

2 Answers

5 votes
17ft
15^2 +8^2 = x^2
hope this helps
User Toukenize
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7.4k points
6 votes

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

User Tomos Williams
by
8.4k points

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