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Some Applications of Trigonometry

CH09 Question Bank

CBSE_CH09_QUESTION_BANK

Grade 10

Question:

A pole $6$ m tall casts a shadow $6$ m long on the ground. The angle of elevation of the sun at that moment is:

$30^\circ$
$45^\circ$
$60^\circ$
$90^\circ$

Step-by-Step Solution

Key Concept: When height equals shadow length, the tangent of the elevation angle is 1.

$\tan\theta=\dfrac{6}{6}=1\Rightarrow\theta=45^\circ$. [1.0 Mark]

Correct Answer: $45^\circ$

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