We can use the Pythagorean Theorem to solve this problem. Let's label the height up the wall that the ladder reaches as "h". Then, we have:
h^2 + 12^2 = 19^2
Simplifying this equation, we get:
h^2 + 144 = 361
Subtracting 144 from both sides, we get:
h^2 = 217
Taking the square root of both sides, we get:
h = sqrt(217)
This is approximately equal to 14.73 feet. Therefore, the ladder reaches approximately 14.73 feet up the wall.
A 19
-foot
ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12
feet from the base of the building. How high up the wall does the ladder reach?
1 answer