Question

A person from the top of the building of height 25m has observed another building’s top and bottom at an angle of elevation $45^\circ$ and an angle of depression $60^\circ$ respectively. Draw a diagram for this data.

Answer 1

Hint: The angle of elevation is the angle above the eye level of the observer. The angle of depression is the angle below the eye level of the observer. We will make the diagram step by step while reading the question.

The main steps to draw the diagram are-
1. Make a horizontal base line which represents the ground.
2. Draw a vertical line OA representing 25 m which is the building on which the observer is standing.
3. Make a line at an angle of $60^\circ$ below the level of the observer. Extend it until it reaches the ground at B. This point represents the bottom of the second building.
4. Make a line at an angle of $45^\circ$ above the level of the observer. Extend it until it is vertically above the point B. Mark this point as C. Join BC.

This is the required figure.

Note: The most important thing here is that we need to understand the language of the question. Also, read the question step-by-step and draw the diagram in these steps only.