The bottom of a ladder must be placed 5 feet from the building. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?

Question

Mathematics

Ariel

21 March, 21:11

The bottom of a ladder must be placed 5 feet from the building. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?

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Answers (2)

Know the Answer?

Tessa Flynn · Answer 1

hi

If your wall is straight, then. you have a rectangular traingle.

As Pythagoras tells us : wall² = ladder² - ground distance²

wall² = 14² - 5²

wall² = 196 - 25

wall² = √171≈13,07

Armani Odonnell · Answer 2

3 square roots of 19

Step-by-step explanation:

a squared + b squared = c squared

5 squared + b squared = 14 squared

25 + b squared = 196 squared

b squared = 171

b = square root of 171

b = 3 square roots of 19