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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
Assertion (A): The angle of elevation of the top of a tower from a point on the ground is always the same as the angle of depression of that same point from the top of the tower. Reason (R): Both angles are measured from the vertical line joining the top and bottom of the tower.
Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. Assertion (A) is true, but Reason (R) is false. Assertion (A) is false, but Reason (R) is true.
Step-by-Step Solution
Key Concept: A is a correct standard fact, but R gives the wrong justification — the correct reasoning uses horizontal lines and alternate angles, not the vertical line.
This equality is a standard, correct property (proved using alternate angles), so A is true. [0.5 Mark]
R is incorrect: the equality arises because both angles are measured from parallel HORIZONTAL lines, with the line of sight as a transversal (giving equal alternate angles) — not because they are measured from the vertical line. So R is false. [0.5 Mark]
Correct Answer:Assertion (A) is true, but Reason (R) is false.
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