California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What is the angle of elevation defined as?

The angle between the line of sight and the vertical when looking upward
The angle between the line of sight and the horizontal when an observer looks upward
The angle made by the observer's eyes looking straight
The angle formed when an object is directly overhead

The correct answer is: The angle between the line of sight and the horizontal when an observer looks upward

The angle of elevation is defined as the angle between the line of sight and the horizontal when an observer looks upward at an object. This means that when you are standing on level ground and you gaze up toward an object located in the sky, the angle formed between your line of sight and the ground (horizontal line) corresponds to the angle of elevation. This concept is particularly important in various applications such as surveying, astronomy, and navigation, where determining the height or distance of objects above the observer is crucial. In this context, understanding the angle of elevation allows one to apply trigonometric functions to calculate distances or heights using right triangles, where the angle helps define the relationship between the sides. The other options do not accurately describe this concept. Definitions that involve vertical lines or objects directly overhead do not capture the true geometric relationship intended by the angle of elevation.