A house of height subtends a right angle at the window of an opposite house. If the height of the window is , then the distance between the two houses is
Explanation for the correct answer:
Step 1: Given
Let P be the house and Q be the house .
Let the height of house P = and
The height of the window of the house Q =
The angle at C and E subtends . This forms the right angled triangle as shown in the figure.
Step 2: Finding the angles
We know that,
In ,
……….. (1)
Also, in
………… (2)
Step 3: Finding the distance
From equation (1) and (2),
Hence, option (A) is the correct answer.