A ladder 20m long reaches a window of a house 16m above the ground. Determine the distance of foot of ladder form the house.
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Answer:
12 metre (Refer to the image Below)
Step-by-step explanation:
So the ladder is inclined on the wall of the house.
Hence the ladder, the house and the ground form a Right-Angled Triangle
So, the distance of the window from the ground is the perpendicular(p) of the Triangle = 16 m
Length of the ladder is the hypotenuse(h) of the Triangle = 20m
Let the distance of the base of the ladder from the house be x metre (b)
By Pythagoras Theorem
=
-
400 - 256 =
144 =
b =
b = 12
Hence the distance of the foot of the ladder from the house is 12 m
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