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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
In the given figure, a tower $AB$ of height $h$ is observed from point $C$ at a distance $d$, with angle of elevation $\theta$. Which relation correctly connects $h$, $d$, and $\theta$?
$\tan\theta=\dfrac{h}{d}$
$\sin\theta=\dfrac{d}{h}$
$\tan\theta=\dfrac{d}{h}$
$\cos\theta=\dfrac{h}{d}$
$\tan\theta=\dfrac{h}{d}$
$\sin\theta=\dfrac{d}{h}$
$\tan\theta=\dfrac{d}{h}$
$\cos\theta=\dfrac{h}{d}$
Step-by-Step Solution
Key Concept: The height is opposite to θ and the distance is adjacent to θ; tan relates opposite to adjacent.
Since $AB$ (height) is opposite $\theta$ and $BC$ (distance) is adjacent to $\theta$: $\tan\theta=\dfrac{AB}{BC}=\dfrac{h}{d}$. [1.0 Mark]
Correct Answer: $\tan\theta=\dfrac{h}{d}$
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