Question

Walls of two,building on either side of a street are parallel to each other a ladder 5.8m long is placed on the street such that its top just reaches the window of a building at the height of 4m. 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 wiidth of the street

Answer 1

See the illustration to understand the case:

The width of street = x + y

So, we apply Pythagoras theorem:

5.8² = x² + 4²

x² = 5.8² - 4²

x² = 33.64 - 16

x² = 17.64

x = 4.2 m [ we ignore negative values as x is length]

now, 5.8² = y² + 4.2²

y² = 5.8² - 4.2²

y² = 33.64 - 17.64

y² = 16

y = 4

So, width of street is x+ y

4 + 4.2 = 8.2m

Answer 2

Answer:

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