[Manyasha]

Johnny1500, здравствуйте.

Хотя я подключил Google Maps Directions API в консоли

это как?
Ваш код работает:

<script src="https://maps.googleapis.com/maps/api/js?v=3.exp&signed_in=true"></script>
<script>
function determineRoutsef() {
   
  var directionsService = new google.maps.DirectionsService();
   
  var request = {
   
    origin:"Москва",
    destination:"Екатеринбург",
    travelMode: google.maps.TravelMode.DRIVING
     
  };
   
 directionsService.route(request, function(result, status) {
  
  if (status == google.maps.DirectionsStatus.OK) {
    var routes = result.routes;
    var leg = routes[0].legs;
   
    var lenght = leg[0].distance.text;
    //Logger.log(lenght); 
    
    var duration = leg[0].duration.text;
    //Logger.log(duration);  
	alert(lenght + "\n" + duration);
    
  }
 })
  
   
}
determineRoutsef()
</script>