Using Similarity Criteria to Find the Distance Across a Canyon

This lesson teaches how to solve problems using similarity criteria, focusing on the vertical angle theorem and angle-angle similarity postulate. The core lesson involves finding the distance across a canyon using similar triangles. By creating two right triangles and using the properties of similar triangles, the lesson demonstrates how to set up proportions and solve for unknown distances. The calculated distance across the canyon is 218 feet.

Explain how the two right triangles formed are similar.

How does the concept of proportional sides help in solving the problem?

What is the final calculated distance across the Canyon?