the length of a ladder is 6 m and it leans on a wall to reach the height of 3.6 m. find the distance between the lower end of the ladder and the base of the wall.
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length of ladder (hypotenuse) = 6m
height on wall (altitude) = 3.6 m
distance between the lower end of the ladder and the base of the wall (base) = b
b² + 3.6² = 6²
⇒ b² + 12.96 = 36
⇒ b² = 36 - 12.96
⇒ b² = 23.04
⇒ b = √23.04
⇒ b = 4.8m
distance between the lower end of the ladder and the base of the wall is 4.8m
height on wall (altitude) = 3.6 m
distance between the lower end of the ladder and the base of the wall (base) = b
b² + 3.6² = 6²
⇒ b² + 12.96 = 36
⇒ b² = 36 - 12.96
⇒ b² = 23.04
⇒ b = √23.04
⇒ b = 4.8m
distance between the lower end of the ladder and the base of the wall is 4.8m
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4.8m...........................................
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