A flagpole stands on a building of height and an observer on level ground is from the base of the building. The angle of elevation of the bottom of the flagpole is and the height of the flagpole is. If is the angle of elevation of the top of the flagpole, then is
Explanation for correct option
Step1.Draw the diagram
The height of the building is , Height of the flagpole is , is the observation point.
The angle of elevation of the bottom of the flagpole is
The angle of elevation of the top of the flagpole is.
Let the distance between man and building be
Step2. Find the value of.
In,
Step3. Find the value of
From the diagram we have,
In
Hence, Option (A) is the correct answer.