Question

Solve the following questions 9

1) Walls of two buildings on either side of a street are parallel 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.​

Answer 1

Answer:

8.2 m

Step-by-step explanation:

The width of street is 8.2 m.

Step-by-step explanation:

We are given that the two buildings are parallel to each other

Refer the attached figure .

So, AB is parallel to ED

Since we are given that 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

So. AC = EC = 5.8 m

And AB = 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 of 4.2m.

So, ED = 4.2 m

So, let BC = x and CD = y

We are required to calculate the width of street i.e. x+y

So, in ΔABC , use Pythagorean Theorem

 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:

8.2 m should be the answer...

for explanation see image....

I hope you got your answer.....