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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
Assertion (A): Heights and distances problems in the current CBSE syllabus may use angles of elevation or depression of any measure, such as $20^\circ$ or $50^\circ$. Reason (R): The official syllabus restricts such problems to angles of $30^\circ$, $45^\circ$, and $60^\circ$ only.
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: Syllabus-awareness check on the specific angle restriction for this chapter.
The syllabus explicitly restricts problems to angles of $30^\circ$, $45^\circ$, and $60^\circ$ — arbitrary angles like $20^\circ$ or $50^\circ$ are not used, so A is false. [0.5 Mark]
R correctly states this exact restriction, so R is true. [0.5 Mark]
Correct Answer:Assertion (A) is false, but Reason (R) is true.
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