A village R is 10km from a point P on a bearing 025 from P. Another village A is 6km from P on a bearing 162, calculate.A the distance of R from A. B The bearing of R from A.

the distance z can be found using the law of cosines.

z^2 = 10^2 + 6^2 - 2*10*6*cos137°
or, get the x-y coordinates of A and R (let P be at (0,0)), then use the usual distance formula.
to get the bearing θ of R from A,
tanθ = (R_{_x}-A_{_x})/(R_{_y}-A_{_y})