The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. (a) Find the length of the ladder. (b) If the ladder is shifted such that its foot is 8 m away, to what height does its top reach?
(a) 10 m (b) 6 m
(a) By Pythagoras: √(6²+8²) = √100 = 10. (b) New height = √(10² − 8²) = √36 = 6.