A ladder rests against a wall at a height of 12m from the ground . If the foot of the ladder is shifted 3m away from the wall , how much lower will the ladder slide down
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Answer: the ladder will be lowered from 3 m
Step-by-step explanation:
Use the pythagorus therom
The height =12m
The length between the ladder and the wall =9 m
Length of the ladder =a
a^2 =b^2 + c^2
= 12^2 + 9^2
= 144+ 81
= 225
a = 15 m
Now , the length in between the ladder and the wall is
9 + 3 = 12m
a^2 =b^2 + c^2
15^2 = b^2 + 12^2
225 - 144 =b^2
81 =b^2
9 m = b = the new height
The ladder was lowered from 12 -9 = 3m
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