Solve each problem. See Example 6. Surveying One student in a surveying class measures an angle as 74.25°, while another student measures the same angle as 74° 20' . Find the difference between these measurements, both to the nearest minute and to the nearest hundredth of a degree.

Key Concepts

Angle Measurement

Angles can be measured in degrees or in degrees-minutes-seconds (DMS). In DMS, one degree is divided into 60 minutes, and each minute is further divided into 60 seconds. Understanding how to convert between these two systems is essential for accurately comparing and calculating angles.

Conversion Between Units

To find the difference between two angle measurements expressed in different formats, one must convert them to a common unit. This involves converting DMS to decimal degrees or vice versa. Mastery of these conversions ensures precise calculations and comparisons.

Rounding Techniques

Rounding is crucial when presenting measurements to a specified degree of accuracy. In this context, rounding to the nearest minute or to the nearest hundredth of a degree requires understanding how to apply rounding rules correctly, which affects the final result of the angle difference.