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  • A car moves along a circular path of radius 20 meter observes that angle of elevation of a pole of height 20 meter on the circumference of  circle at 2 points is <im

A car moves along a circular path of radius 20 meter observes that angle of elevation of a pole of height 20 meter on the circumference of  circle at 2 points is 30^{\circ} . Distance between those points will be

 

Option: 1

20 \pi


Option: 2

-


Option: 3

\frac{40 \pi}{3}


Option: 4

20 \sqrt{3}


Answers (1)

best_answer

\mathrm{Clearly \mathrm{AQ}=\mathrm{BQ}=20 \sqrt{3}}        by sine rule

\mathrm{\begin{aligned} & \frac{20}{\sin \theta}=\frac{20 \sqrt{3}}{\sin 2 \theta} \\ & \Rightarrow \cos \theta=\frac{\sqrt{3}}{2} \Rightarrow \theta=\frac{\pi}{6} \\ & \text { So, } A B=2 A M=2 \times 20 \times 2 \times \frac{\pi}{6}=\frac{40 \pi}{3} \end{aligned}}

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sudhir kumar

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