A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall. Approximately how high up the wall does the top of the ladder reach? A. 2.4 feet B. 7.0 feet C. 13.0 feet D. 10.9 feet

The ladder is the hypotenuse.
One of the legs is 5 feet.
We need to find the height.

a^2 + 5^2 = 12^2
a^2 + 25 = 144
a^2 = 144 - 25
a^2 = 119
a = √119

a ≈ 10.9 feet

The ladder reaches up 10.9 feet.

Answer Link

RajarshiG RajarshiG · Answer 2 · 2022-05-24T19:30:58+02:00

As per the Pythagorean Theorem, the top of the ladder can reach approximately 10.9 feet high up the wall.

What is the Pythagorean Theorem?

Pythagorean Theorem states that, in a right-angle triangle, the square of the hypotenuse is equal to the sum of the squares of the base and the height.

What is a right-angle triangle?

A right-angle triangle is a triangle that consists of a right-angle.

Here, the ladder forms a right-angle triangle with the wall and the ground.

The ladder = hypotenuse of the triangle = 12 feet.

The base = distance of the bottom of the ladder from the ground = 5 feet.

Therefore, the height of the wall that the ladder can reach

= √[(hypotenuse)² - (base)²] = √[(12)² - (5)²] feet = √119 feet = 10.9 feet.

Hence, option D is correct.

Learn more about the Pythagorean Theorem here: https://brainly.com/question/16582741

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