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Class 10 › Mathematics › Some Applications of Trigonometry
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
In the given figure, which of the following angles represents the angle of depression ? (An observer at the top of a vertical tower looks down at an object on the ground. $z$ is the angle between the horizontal line at the observer and the line of sight, $y$ is the angle between the tower and the line of sight, $x$ is the angle at the object and $a$ is the angle at the foot of the tower.)
A. $x$
B. $y$
C. $z$
D. $a$
✅ Answer & Solution
✅ Correct Answer: C
Step 1: The angle of depression is defined as the angle made by the line of sight with the HORIZONTAL line, when the object is BELOW the level of the observer.
Step 2: In the figure, the horizontal line is drawn at the observer's eye at the top, and the line of sight goes down to the object.
Step 3: The angle between this horizontal line and the line of sight is marked $z$.
Step 4: Hence $z$ is the angle of depression. (Note: $x$ is the angle of elevation of the observer from the object, and $x=z$ as alternate angles.)
Correct option is (C) $z$.
