A communication cable is stretched from the top of a vertical pole to a point on the ground 40 m from the pole’s foot. The cable makes an angle of 60∘ with the level ground.
a. (i) Show that the length of the cable is cos60∘40 metres.
b. (ii) Determine the height of the pole.
c. (iii) If the cable costs Rs 150 per metre, calculate the total cost of the cable, correct to the nearest rupee.