Angles of elevation and depression are essential concepts in trigonometry, especially when solving problems involving heights and distances. The angle of elevation is the angle formed between the horizontal line of sight and an object above the horizontal. Imagine looking up at a bird in the sky! The angle of depression, on the other hand, is the angle formed between the horizontal line of sight and an object below the horizontal. Think about looking down at a boat from a cliff. Mastering these concepts allows you to use trigonometric ratios (sine, cosine, tangent) to calculate unknown lengths and angles.
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Angle of Elevation | A. The ratio of the length of the opposite side to the length of the hypotenuse. |
| 2. Angle of Depression | B. The angle formed between the horizontal line of sight and an object below the horizontal. |
| 3. Trigonometry | C. The angle formed between the horizontal line of sight and an object above the horizontal. |
| 4. Sine | D. The ratio of the length of the adjacent side to the length of the hypotenuse. |
| 5. Cosine | E. The branch of mathematics dealing with the relationships between the sides and angles of triangles. |
Complete the paragraph using the words: horizontal, depression, elevation, trigonometry, observer.
An __________ uses __________ to solve problems involving angles of __________ and __________. The key is to understand the __________ line of sight from the __________.
Explain how understanding angles of elevation and depression can be useful in real-world applications, such as surveying or navigation.
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! ๐