Two towns A(−1,2) and B(5,−4) lie on a straight road running across a large plain. A third town C(t,−10) is to be connected by extending the same straight road.
(a) Find the value of t so that A, B and C are on one straight road.
(b) Using the value of t obtained, calculate the length of the road between towns A and C (give your answer in simplest radical form).