IPMAT Indore (MCQ) PYQs

The 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

If $sin \theta + cos \theta = m$, then $sin^6 \theta + cos^6 \theta$ equals

The set of all real value of $p$ for which the equation $3 \sin^2x + 12 \cos x - 3 = p$ has at least one solution is