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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
Assertion (A): A tower's angle of elevation from a point $20$ m away is $45^\circ$, so the height of the tower is $20$ m. Reason (R): $\tan 45^\circ = 1$.
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: Direct computation using the standard value of tan 45°.
$\tan45^\circ=\dfrac{h}{20}$. Since $\tan45^\circ=1$, $h=20$ m — A is true. [0.5 Mark]
R correctly states the exact standard value used in this computation, so R correctly explains A. [0.5 Mark]
Correct Answer:Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A.
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