Amy has a crush on Jake. Jake runs in a constant direction with speed v_J = 7 m s^-1 relative to the ground. Amy chases him with a speed of v_A = 2 m s^-1. Jake's and Amy's eye levels are at height h_J = 2.0 m and h_A = 1.5 m from the ground respectively. Assume that Earth is a perfect sphere with radius R = 6400 km, and that there are no obstructions. Given that they start running from the same point at the same time, find t, the time taken for Jake to disappear from Amy's view.