Page 1: Right Triangle Word Problems - Basic Applications
This page introduces fundamental applications of right triangle trigonometry through practical scenarios. The problems demonstrate how to calculate distances and angles in real-world situations.
Example: A ladder problem where Joe needs to determine the length of a ladder that will reach 32 feet high when placed at a 63.6° angle with the ground. The solution shows that the ladder needs to be 35.7 feet long.
Highlight: The page emphasizes the importance of identifying known values and selecting the appropriate trigonometric ratio for solving each problem.
Vocabulary: Angle of depression - the downward angle measured from the horizontal to a line of sight.
Definition: The angle of elevation is the upward angle formed between a horizontal line and the line of sight to an object above.
The page covers various scenarios including cruise ship distance calculation, river width measurement, and cable construction problems, each utilizing different trigonometric ratios based on the given information.