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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
From the top of a building $50$ m high, the angle of depression of a car on the ground is $30^\circ$. Find the distance of the car from the base of the building.
Step-by-Step Solution
Key Concept: The angle of depression equals the angle of elevation from the car (alternate angles); apply tanθ = height/distance.
$\tan30^\circ=\dfrac{50}{d}\Rightarrow \dfrac{1}{\sqrt3}=\dfrac{50}{d}$. [1.0 Mark]
$d=50\sqrt3$ m. [1.0 Mark]
$d=50\sqrt3$ m. [1.0 Mark]
Correct Answer:
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