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

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If an observer measures an angle of elevation of 30 degrees, what does this indicate?

  1. The observer is looking straight ahead

  2. The observer is looking upward at a 30-degree angle

  3. The observer is looking downward at a 30-degree angle

  4. The observer is measuring a vertical distance

The correct answer is: The observer is looking upward at a 30-degree angle

When an observer measures an angle of elevation of 30 degrees, it indicates that the observer is looking upward at that specific angle relative to a horizontal line of sight. In this context, an angle of elevation is used to describe the angle formed between the horizontal plane and the line of sight directed towards an object that is above this horizontal plane. This situation often arises in scenarios such as measuring the height of buildings, trees, or mountains from a given point. At an angle of 30 degrees, the observer is not looking straight ahead (which would be 0 degrees) or downward (which would involve measuring an angle below the horizontal). Instead, the measurement clearly indicates that the observer has tilted their line of sight upward to focus on an object above them, thus confirming that they are looking upward at a 30-degree angle.

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