Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
Explain, with reference to a right triangle, why the angle of elevation of an object increases as an observer walks towards its base.
Step-by-Step Solution
Key Concept: Use the tanθ = height/distance relation to explain the trend.
For a fixed height $h$, $\tan\theta=\dfrac{h}{d}$, where $d$ is the horizontal distance from the base. [1.0 Mark]
As the observer walks closer, $d$ decreases, so $\dfrac{h}{d}$ increases, meaning $\tan\theta$ (and hence $\theta$) increases. [1.0 Mark]
Correct Answer:
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