Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10
Question:
The string of a kite makes an angle of $30^\circ$ with the ground. If the kite is flying at a height of $50$ m, the length of the string is:
$50$ m
$50\sqrt3$ m
$100$ m
$100\sqrt3$ m
Step-by-Step Solution
Key Concept: The height is opposite the angle, and the string is the hypotenuse; use sinθ = height/string length.
$\sin30^\circ=\dfrac{50}{\text{string length}}\Rightarrow \dfrac12=\dfrac{50}{L}\Rightarrow L=100$ m. [1.0 Mark]
Correct Answer: $100$ m
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