A ladder is placed against a vertical wall such that it reaches a window 8 m above the ground. The foot of the ladder is 6 m away from the wall on level ground.
a. (i) Show that the length of the ladder is 10 m.
b. (ii) For the angle α that the ladder makes with the ground, find sinα, cosα and tanα.
c. (iii) Using the value of tanα, calculate cotα and cscα.