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Some Applications of Trigonometry
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section C]
A $1.5$ m tall boy is standing at some distance from a $30$ m tall building. The angle of elevation from his eyes to the top of the building increases from $30^\circ$ to $60^\circ$ as he walks towards the building. Find the distance he walked towards the building.
A $1.5$ m tall boy is standing at some distance from a $30$ m tall building. The angle of elevation from his eyes to the top of the building increases from $30^\circ$ to $60^\circ$ as he walks towards the building. Find the distance he walked towards the building.
Step-by-Step Solution
Key Concept: Effective height $= 30 - 1.5 = 28.5$ m. Distance $= 28.5\sqrt{3} - 28.5/\sqrt{3} = 19\sqrt{3}$ m.
Effective height $= 28.5$ m. In right triangles, distance $= 28.5\sqrt{3} - 9.5\sqrt{3} = 19\sqrt{3}$ m. [3.0 Marks]
Correct Answer: Distance $= 19\sqrt{3}$ m
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