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 it's too just reaches the window of a building at the height of 4m.
On turning the ladder over to the other side of the street, it's top touches the window of the
other building at a height 4.2m. Find the width of street​

Answer 1

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

So, in ΔEDC , use Pythagorean Theorem

So, the width of street = x+y = 4.2+4 =8.2 m

Hence the width of street is 8.2 m.