In Exercises 61–62, use the figures shown to find the bearing from O to A.

Key Concepts

Bearing

Bearing is a way of describing direction in navigation and geometry, typically expressed in degrees. It is measured clockwise from the north direction, with 0° representing north, 90° east, 180° south, and 270° west. Understanding how to calculate bearings is essential for determining the direction from one point to another, as seen in the question.

Angles in Standard Position

An angle is in standard position when its vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis. The angle is measured counterclockwise from the initial side. In this context, the 61° angle from point O to point S indicates the direction of point S relative to the north, which is crucial for calculating the bearing.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, relate the angles of a triangle to the lengths of its sides. These functions are fundamental in solving problems involving angles and distances in trigonometry. In this question, they may be used to find the coordinates of point A based on the angle and distance from point O, aiding in determining the bearing.