When I want to calculate the coordinates of a location (e.g., a nest or burrow) based on distance and bearing from a grid point, this function helps me avoid writing down SOH-CAH-TOA every time. Just note that the bearing in this case is from the grid point (known location) to the unknown location.

polar2cart<-function(x,y,dist,bearing,as.deg=FALSE){
  ## Translate Polar coordinates into Cartesian coordinates
  ## based on starting location, distance, and bearing
  ## as.deg indicates if the bearing is in degrees (T) or radians (F)
  
  if(as.deg){
    ##if bearing is in degrees, convert to radians
    bearing=bearing*pi/180
  }
  
  newx<-x+dist*sin(bearing)  ##X
  newy<-y+dist*cos(bearing)  ##Y
  return(list("x"=newx,"y"=newy))
}


##Example

oldloc=c(0,5) 
bearing=200 #degrees
dist=5

newloc<-polar2cart(oldloc[1],oldloc[2],dist,bearing,TRUE)
plot(oldloc[1],oldloc[2],xlim=c(-10,10),ylim=c(-10,10))
points(newloc$x,newloc$y,col="red")