A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the

Question

2 years ago

8

building. If the
ladder reaches 23 ft above the ground, how long is the ladder. Round your answer to the nearest tenth

1 answer:

andrezito [222] · Answer 1 · 2022-11-08T08:29:13+03:00

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

$a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{818}\\c=28.6$

Hence,

The ladder is 28.6 feet long.