A
19-foot
ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground
5
feet from the base of the building. How high up the wall does the ladder reach?
The 19 foot ladder forms the hypotenuse.
One leg is 5 ft the other leg is the side of the wall
Pythagorean theorem (for right triangles ONLY)
a^2 + b^2 = c^2 where c = hypot a and b are legs
5^2 + b^2 = 19^2
b^2 = 19^2 - 5^2
b = height up the wall = sqrt(19^2-5^2) = 18.33 ft
The 19 foot ladder forms the hypotenuse.
One leg is 5 ft the other leg is the side of the wall
Pythagorean theorem (for right triangles ONLY)
a^2 + b^2 = c^2 where c = hypot a and b are legs
5^2 + b^2 = 19^2
b^2 = 19^2 - 5^2
b = height up the wall = sqrt(19^2-5^2) = 18.33 ft