Question

a ladder is leaning against a building. the top of the ladder is 21 feet up the wall. the bottom of the ladder is 20 feet away from the base of the building. how long is the ladder

Answer 1

29

Explanation:

We can use the pythagorean theorem to find the length of the ladder

`{20}^(2) + {21}^(2) = c {}^(2)`

`400 + 441 = {c}^(2)`

`841 = {c}^(2)`

`c = 29`

The answer is 29

Answer 2

19 ft .

Explanation:

Given :-

• Height = 21 ft .
• Base = 20ft.

Using Pythagoras Theorem :-

• p² + b² = h²
• 20² + 21² = h²
• 400 + 441 = h²
• h² = 841
• h = √841
• h = ± 19 ft
• h = 19 ft .