## 2. to 1) A 13-foot ladder is leaning against a wall 5 feet from the base of the wall. How far above the ground does the ladder touch the wal

Question

2. to 1) A 13-foot ladder is leaning against a wall 5 feet from the base of the wall. How far above the ground does the ladder touch the wall? *Simplest radical form* A) 144 ft B) 14 ft C) 144 ft D) /194 ft​

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1 year 2021-09-03T04:32:28+00:00 1 Answers 5 views 0

12 ft

Step-by-step explanation:

You have a right triangle with the hypotenuse = 13 and one leg = 5

Let x = distance above the ground that the ladder touches the wall

Now use the Pythagorean theorem

$$x^{2} + 5^{2} = 13^{2} \\x^{2} + 25 = 169\\x^{2} = 144\\x = \sqrt{144} = 12$$

It looks like none of the choices are correct, because the answer is 12 ft.

By the way, it is impossible for the ladder to reach up the wall a distance longer the the length of the ladder.  Think about it.  OK?