Bearing is measured clockwise from north.
However, trig is measured counterclockwise from east.
So a bearing of 65° translates to a trig angle of 25°. (90° - 65° = 25°) (Everything is in Quadrant I.)
Picture a right triangle that has an endpoint at the origin, a 25° angle going to the upper right, a hypotenuse of 200, and a base along the x-axis. You want to find the length along the x-axis.
East is along the x-axis, so use cos: cos(25°) = x/200 ---> x = 200cos(25°) ---> x = 181 km
Bearing is measured clockwise from north.
However, trig is measured counterclockwise from east.
So a bearing of 65° translates to a trig angle of 25°. (90° - 65° = 25°) (Everything is in Quadrant I.)
Picture a right triangle that has an endpoint at the origin, a 25° angle going to the upper right, a hypotenuse of 200, and a base along the x-axis. You want to find the length along the x-axis.
East is along the x-axis, so use cos: cos(25°) = x/200 ---> x = 200cos(25°) ---> x = 181 km