Walls of two buildings on either side of a street are parellel to each other.A ladder 5.8 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street , its top touches the window of the other building at a height 4.2 m. Find the width of the street.
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Answer:
8.2 m
Step-by-step explanation:
Length of Ladder = 5.8 m
Height of Window = 4 m
Distance of Ladder Foot from wall = √(5.8² - 4²)
= √(9.8) * 1.8
= √7 * 7 * 0.2 * 3 * 3 * 0.2
= 7 * 0.2 * 3
= 4.2 m
On the other Side Height of Window it touches = 4.2
Distance of Ladder Foot from other Wall = √(5.8² - 4.2²)
= √(10 * 1.6)
= √16
= 4 m
the width of the street = 4.2 + 4 = 8.2 m
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