A ladder is placed in such a way that its foot is at a distance of 7m from a wall and its top
reaches a window 24m above the ground. Determine the length of the ladder.
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The length of the ladder is 25 m
Step-by-step explanation:
Given data
- Distance of bottom end of ladder from bottom point of wall (B) = 7 m
- Distance of top end of ladder from bottom point of wall (H) = 24 m
Let
Length of ladder = L = Unknown
- Here we see that L, B and H form a right angle triangle. Where L will be hypotenuse of triangle.
- From formula of Pythagoras
L² = B² + H²
L² = 7² + 24²
L² = 49 + 576
L² = 625
- So
L =25 = This is length of ladder.
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