Solving Angle of Elevation and Depression Word Problems

The Organic Chemistry Tutor

This instructional video provides a step-by-step guide to solving trigonometry word problems involving angles of elevation and angles of depression. Through three distinct examples, the narrator demonstrates how to translate text-based scenarios into mathematical diagrams, identifying right triangles within real-world contexts like buildings, trees, and observation towers. The video places a strong emphasis on visualizing the problem before attempting to solve it. The content covers key trigonometric concepts including the SOH CAH TOA mnemonic to select the correct ratio (Sine, Cosine, or Tangent), the geometric definitions of angles of elevation versus depression relative to a horizontal line, and the use of inverse trigonometric functions to find unknown angles. It also touches upon special right triangles (30-60-90) to find exact values without a calculator. This video is highly valuable for high school geometry and trigonometry classrooms. Teachers can use it to model the problem-solving process, specifically the critical step of drawing accurate diagrams from word problems. It effectively addresses common student struggles, such as distinguishing between elevation and depression angles and determining when to use inverse functions versus standard ratios.