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

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How are angles of elevation and depression typically measured?

In radians only
In degrees only
In both degrees and radians
In coordinate units

The correct answer is: In both degrees and radians

Angles of elevation and depression are typically measured in both degrees and radians, which makes this the most comprehensive answer. Understanding these angles is crucial in various applications such as trigonometry, physics, and navigation. Degrees are a familiar unit of measurement, with a full circle comprising 360 degrees. This system is often used in everyday contexts, making it intuitive for many individuals when visualizing angles. On the other hand, radians are a more mathematically rigorous unit, where one radian is the angle formed when the arc length equals the radius of the circle, with a full circle measuring approximately 6.28 radians (or 2π radians). This measurement is particularly useful in higher-level mathematics and when performing calculations involving trigonometric functions. By allowing angles of elevation and depression to be expressed in both degrees and radians, it provides flexibility and can facilitate calculations in different contexts, whether in classroom settings or real-world applications. This dual capability is essential for a comprehensive understanding of geometry and trigonometry.