Fig. 2.2210. Walls of two buildings on either side of a street are par

1.	Fig. 2.2210. Walls of two buildings on either side of a street are parellel to each othei.A ladder 5.8 m long is placed on the street such that its top just reaches thewindow of a building at the height of 4 m. On turning the lodder over to the otherside of the street, its top touches the window of the other building at a height 42m.Find the width of the street.
Answer» 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

Fig. 2.2210. Walls of two buildings on either side of a street are parellel to each othei.A ladder 5.8 m long is placed on the street such that its top just reaches thewindow of a building at the height of 4 m. On turning the lodder over to the otherside of the street, its top touches the window of the other building at a height 42m.Find the width of the street.

Answer»

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