Question 1 1. Victoria James is a spy. She has become trapped in an underground mine at point Vand her only.r means of escape is through a ventilation sha with equation 3! = \\f2 x, U E x S 2 as shown below. The shaft ends at ground level at the point (3(2, 0) and all distances are measured in kilometres. .1. ground level G (2:0) ventilation shaft a) Find the coordinates of the point I\Victoria can move along the ventilation shaft towards point G as long as the gradient of the shaft is two or less. b) Show that the coordinates of the furthest point along the shaft that Victoria can reach are 31 1 16 (2 marks) Victoria, stuck at the point p ( 31 -, waits for her rescuers to set up a drilling site at point D. From this point they will drill a straight tunnel that will intersect with the shaft as shown below. At this point of intersection P, the gradient of the shaft will equal the gradient of the tunnel. G(2,0) D `rescue tunnel P ventilation shaft c) Find the rule for the rescue tunnel.{1) State the coordinates of D, the position of the drilling site. (2 marks) e) Write an expression for the angle the tunnel makes with the ground. 1: l 1wk)