Mathematics

Problem

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. (a) Find the value of

t

so that

A

B

and

C

are on one straight road. b. (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).