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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
A ladder rests against a vertical wall such that its foot is $6$ m from the wall and it makes an angle of $60^\circ$ with the ground. Find the length of the ladder and the height it reaches on the wall.
Step-by-Step Solution
Key Concept: Use the given angle with cos to find the ladder length, and sin to find the height.
$\cos60^\circ=\dfrac{6}{L}\Rightarrow \dfrac12=\dfrac{6}{L}\Rightarrow L=12$ m. [1.5 Marks]
Height $=L\sin60^\circ=12\times\dfrac{\sqrt3}{2}=6\sqrt3$ m. [1.5 Marks]
Correct Answer:
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