Question

the foot of a ladder is 6m away from a wall and it's top reaches a window 8m above the ground if the ladder is shifted in such a way that it's foot is 8m away from the wall. So what height does it's top reach?​

Answer 1

Answer:

height the top reaches = 6m

Step-by-step explanation:

Take it as a right-angled triangle

First Case :-

foot (base) = 6m

vertical arm = 8m

therefore length of the ladder = 6² + 8² = length of ladder ²

36 + 64 = 100

length of ladder = ²√100 = 10

ladder is 10m

Second Case:-

Now foot (base) = 8m

length of ladder (hypotenuse) = 10m

Therefore, vertical arm = x

x² + 8² = 10²

x² = 10² - 8²

x² = 100 - 64

x² = 36

x = ²√36

x = 6

height the top reaches = 6m

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