The radio transmitter sends signals to the railway engine that runs along th straight track. When the set of coordinate axes is utilized to represent the system, transmitter is at R (1.0) and track T is a line with equation 2x + y = 30, where the units are km.
a) Draw the set of coordinate axes, using same scale for both axes. Plot R and sketch graph of T. Clearly label with the coordinates points A and B at which T crosses x axis and y axis respectively.
Engine recieves strongest signal ayt, point on T which is closet to R. Let P(x,y) represent the general point on T.
b) State y in terms of x
Determine in terms of x vector RP
Use scalar product RP X BA to determine coordinates of c.