IPMAT Indore 2023Geometry > Medium2\sqrt{2}22223\sqrt{3}3111✅ Correct Option: 3Related questions:For 0<θ<π40\lt\theta\lt\frac{\pi}{4}0<θ<4π, let a=((sinθ)sinθ)(log2cosθ),b=((cosθ)sinθ)(log2sinθ),c=((sinθ)cosθ)(log2cosθ)a=\left((\sin \theta)^{\sin \theta}\right)\left(\log _{2} \cos \theta\right), b=\left((\cos \theta)^{\sin \theta}\right)\left(\log _{2} \sin \theta\right), c=\left((\sin \theta)^{\cos \theta}\right)\left(\log _{2} \cos \theta\right)a=((sinθ)sinθ)(log2cosθ),b=((cosθ)sinθ)(log2sinθ),c=((sinθ)cosθ)(log2cosθ) and d=((sinθ)sinθ)(log2sinθ)d=\left((\sin \theta)^{\sin \theta}\right)\left(\log _{2} \sin \theta\right)d=((sinθ)sinθ)(log2sinθ). Then, the median value in the sequence a,b,c,da, b, c, da,b,c,d isGiven that cosx+cosy=1\cos x + \cos y = 1cosx+cosy=1, the range of sinx−siny\sin x - \sin ysinx−siny isThe angle of elevation of the top of a pole from a point A on the ground is 30°. The angle of elevation changes to 45°, after moving 20 meters towards the base of the pole. Then the height of the pole, in meters, is