8. 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 in such a way that its foot
is 8 m away from the wall, to what height does its top reach?
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Answer:
a) 10m
b) 6 m
Step-by-step explanation:
a) By Pythagoras theorem
length of ladder = √(8sq + 6sq)
= √64+36
= √100
= 10m
b) By Pythagoras theorem
height = √(10sq - 8sq)
= √100-64
=√ 36
= 6m
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