Frequently, the Pythagorean Theorem is used to calculate distances that are not easy to measure directly.
The Ladder Problem
In the diagram, a ladder that is 40 feet in length is placed against a building. The bottom of the ladder touches the ground 8 feet from the base of the building. How high above the ground will the ladder touch the building?
First, identify the right triangle in the diagram. In addition, identify the legs and hypotenuse of the right triangle.
Drag the appropriate measurements to the parts of the figure in order to label the diagram.
Use the Pythagorean Theorem to set up an equation for x.
Now that you have correctly set up your equation, solve for x. Express your answer as an irrational number, and then approximate to the nearest whole number.
Interactive popup. Assistance may be required. x = √1536 feet ≈ 39 feet