Line of sight
The line of sight is the straight line joining the observer's eye to the object being seen.
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Student-friendly explanation
In trigonometry problems, the line of sight is the slant line that connects the observer and the target object. It is the key line used to form the angle of elevation or depression. Without this line, we cannot build the right triangle needed for height and distance questions. The line of sight is always straight, not curved, because we imagine the shortest viewing path.
How to write this in exams
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Start with the exact idea
The line of sight is the straight line joining the observer's eye to the object being seen.
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Then show how to use it
1. Mark the observer's eye. 2. Mark the target object point. 3. Join them with a straight slant line. 4. Label that line as the line of sight. 5. Use it with the horizontal to form the angle.
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Add one concrete example
If a student at ground level sees the top of a lamp post, the straight line from the eye to the lamp post top is the line of sight.
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Avoid this incomplete answer
A common wrong answer is to treat the ground distance as the line of sight. The ground distance is only the adjacent side, not the viewing line.
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Quick check
In a height-and-distance problem, what does the line of sight connect?
The line of sight is the straight line joining the observer's eye and the object being observed. It is the slant side used to form the viewing triangle.
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