Perform each calculation. See Example 3. 47° 29' ― 71° 18'

Key Concepts

Angle Measurement

Angles can be measured in degrees, where a full circle is 360 degrees. In this question, angles are given in degrees and minutes, a common format in trigonometry. One degree is divided into 60 minutes, allowing for more precise measurements. Understanding how to convert between degrees and minutes is essential for accurate calculations.

Subtraction of Angles

Subtracting angles involves taking one angle measurement away from another. When dealing with angles in degrees and minutes, it is crucial to align the minutes correctly, borrowing from the degrees if necessary. This concept is fundamental in trigonometry, especially when calculating angles in various applications, such as navigation or geometry.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, relate the angles of a triangle to the lengths of its sides. While the question primarily focuses on angle calculations, understanding these functions is vital for applying the results in practical scenarios. They are essential for solving problems involving right triangles and periodic phenomena.