Question

If you place a 23-foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answer 1

23 feet tall
Ifyou place a 23-foot ladder against - the top- of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. AI Recommended Answer: The building is 23 feet tall.

Answer 2

The height of the building is: 20.2 foot

Explanation:

Using the Pythagorean theorem we can find another side of a right-angled triangle if two among three sides are given.

`c = \sqrt{a^(2) + b^(2) }`

where a, and b are sides and c is the hypotenuse.

In our case base (b) is given and ladder length (c) is given, so the height of building (a) is :

`a = √(c^2 - b^2)`

`a = √(23^2 - 11^2)`

`a = √(529-121) \\a = √(408)\\a = 20.199\\\\`

So the rounded answer of height is: 20.2 foot