a ladder 10 m long reaches a window 8 m above the ground find the distance of foot of the ladder form the base of the wall?
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Answer:
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Step-by-step explanation:
In this question it is given that a ladder standing touching the wall having length 10 m. Also height of the window above the ground is 8 m. So we can see in the diagram window and ladder are forming a right angle triangle, right angled at A.
So now here in Right Angle Triangle CAB
Given
AC (Height of window) = 8 m. (Perpendicular to the base of ground),
BC (Length of Ladder) = 10 m. (Hypotenuse of the right angle triangle),
To Find
AB (Distance of the foot of the ladder from the base of the wall) or Base of triangle BAC,
So using Pythagoras Theorem
BC2 = AC2 + AB2
AB2 = BC2 - AC2
AB2 = 102 - 82 = 100 - 64
AB = 36
AB = √36 = 6
Hence the distance of the foot of the ladder from base of the wall is 6 m.
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Step-by-step explanation:
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