The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long

Question

Minchanka [31]

3 years ago

12

The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long

! HOW TALL IS IT? WILL MARK BRAINLIEST

Mathematics

1 answer:

torisob [31] · Answer 1 · 2022-10-24T01:58:48+03:00

Answer:

12 ft

Step-by-step explanation:

Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft. Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:

(13 ft)^2 = y^2 + (5 ft)^2. Then y^2 = 144 ft^2, and y =height= 12 ft