In Exercises 65-70 , use the angle-conversion capabilities...

In Exercises $65-70$ , use the angle-conversion capabilities of a graphing utility to convert the angle measure to $\mathbf{D}^{\circ} \mathbf{M}^{\prime} \mathbf{S}^{\prime \prime}$ form.
$$
-0.355
$$

Key Concepts

Graphing Utility Capabilities

Modern graphing utilities and scientific calculators include functions to facilitate angle conversions. By using these built-in tools, users can quickly convert and display angles in the DMS format without manual calculations, which enhances accuracy and efficiency in solving problems related to trigonometry and other applications.

Angle Conversion

Angle conversion is the process of transforming angle measurements between different formats, such as from decimal degrees to the DMS format. This conversion involves separating the integer part as degrees, multiplying the fractional part by 60 to obtain minutes, and then converting any remaining fractional minutes into seconds.

Decimal Degrees

Decimal degrees express an angle as a single real number, which is often quicker for calculation but less intuitive for representing precise angular measurements. In this system, the entire angle is given as a whole number with a fractional part, where the fraction of a degree represents a portion of the 60 minutes that make up a full degree.

Degrees-Minutes-Seconds (DMS) Format

The DMS format divides a degree into 60 minutes and each minute into 60 seconds. This traditional format is particularly useful in fields like navigation and surveying where precise angular measurements are needed. It expresses angles as a combination of whole degrees, minutes, and seconds, which can be more intuitive in understanding small subdivisions of a degree.

Please give Ace some feedback