A ladder placed 12.5 feet from a building touches a building exactly 30 feet from the ground. What is the length of a ladder?
See the entire solution process below:
Assuming the ground is level horizontally and the building is level vertically, where the ground and building meet is a right triangle. The ladder leaning against the building forms a right triangle so we can use the Pythagorean Theorem to find the length of the ladded.
The Pythagorean Theorem states:
Substituting the values from the problem and solving for
The length of the ladder is