Two Men, P And Q Set Off From A Base Camp R Prospectively For Oil.P Moves 20km On A Bearing Of 205 And Q Moves 15km On A Bearing Of 060.What Is The Distance Of P From Q

2 answers

you don't move on a bearing. You move on a heading. You observe on a bearing.

Starting from R at (0,0),
P moves to (-20/√2,-20/√2)
Q moves to (15√3/2,15/2)

now just find the distance between those points.

Or, use the law of cosines. The angle between their headings is 165°, so their distance apart is

d^2 = 20^2 + 15^2 - 2*20*15 cos165°
pls solve it