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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
A tower stands at a distance of $10\sqrt3$ m from an observer. If the angle of elevation of the top of the tower is $30^\circ$, the height of the tower is:
$5$ m
$10$ m
$10\sqrt3$ m
$15$ m
$5$ m
$10$ m
$10\sqrt3$ m
$15$ m
Step-by-Step Solution
Key Concept: Apply tanθ = height/distance.
$\tan30^\circ=\dfrac{h}{10\sqrt3}\Rightarrow \dfrac{1}{\sqrt3}=\dfrac{h}{10\sqrt3}$. [0.5 Mark]
$h=10$ m. [0.5 Mark]
$h=10$ m. [0.5 Mark]
Correct Answer: $10$ m
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