Height and Distance: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Morning shift · Q3925

JEE Main 202125 Jul, Morning shiftMathematicsMediumHeight and Distance38× since 2004

A spherical gas balloon of radius 16 meter subtends an angle 60

^\circ

at the eye of the observer A while the angle of elevation of its center from the eye of A is 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 Height and Distance Question with Solution (25 Jul Morning shift, Q3925) | JEE Arc

JEE Main 2021 · 25 Jul, Morning shift · Q3925

JEE Main 202125 Jul, Morning shiftMathematicsMediumHeight and Distance38× since 2004

A spherical gas balloon of radius 16 meter subtends an angle 60

^\circ

at the eye of the observer A while the angle of elevation of its center from the eye of A is 75

^\circ

. Then the height (in meter) of the top most point of the balloon from the level of the observer's eye is :