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.
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.