Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.

Answer 1

To find out how high Kali can reach using the ladder, we can use the Pythagorean theorem on this right triangle where the ladder serves as the hypotenuse, a = 222 meters is the base, and b is the distance she can reach high.

The Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse.

Given a = 222 meters and c = 666 meters,

(222)^2 + b^2 = (666)^2
49,284 + b^2 = 443,556

Subtract 49,284 from both sides to get:

b^2 = 394,272

Now, take the square root of both sides to find b:

b ≈ 627.69 meters

So Kali can reach approximately 627.69 meters high using the ladder.