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Mathematics · 2021

JEE Main · 25 July 2021, Shift 1 · Q73

A spherical gas balloon of radius 16 meter subtends an angle 60° at the eye of the observer A while the angle of elevation of its center from the eye…

A spherical gas balloon of radius $\displaystyle 16$ meter subtends an angle $\displaystyle 60$° at the eye of the observer A while the angle of elevation of its center from the eye of A is $\displaystyle 75^{\circ}$. Then the height (in meter) of the top most point of the balloon from the level of the observer's eye is :
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.