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Mathematics · 2021

JEE Main · 26 August 2021, Shift 2 · Q70

A hall has a square floor of dimension 10 m × 10 m (see the figure) and vertical walls. If the angle GPH between the diagonals AG and BH is cos^-1…

A hall has a square floor of dimension $\displaystyle 10 \mathrm{~m} \times 10 \mathrm{~m}$ (see the figure) and vertical walls. If the angle GPH between the diagonals AG and BH is $\displaystyle \cos ^{-1} \frac{1}{5}$, then the height of the hall (in meters) is : Figure: JEE Main Mathematics 2021, 3D Geometry
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