The road from P to Q makes a detour round a mountain. It first goes 6km from P on a bearing of 080◦ , then 7km on a bearing of 020◦ and finally 5km on a bearing of 295◦ to reach Q. There is a plan to bore a tunnel through the mountain from P to Q. It will be considered cost effective if it reduces the journey by more than 10km. Determine whether the tunnel should be built based on this information