#1**+5 **

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

geno3141
Jan 18, 2015

#1**+5 **

Best Answer

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

geno3141
Jan 18, 2015