The foot of a ladder os 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall, to ehat height does its top reach? Answer me quickly please by draw a figure
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Answer:
7m
Step-by-step explanation:
First, we find the length of the ladder. The ladder forms a right triangle with the ground and the wall. By pythagoras theorem,
Length of the ladder^2 = distance from the wall^2 + height of the window^2
= 6^2 + 8^2 = 36 + 64 = 100
the ladder is √100m, i.e., 10m long
now, the distance from the wall changes to 8m. So, the new height =
√(10² - 8²) = √(100-64) = √49 = 7m
Sorry, no figure....
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