MCA Entrance Previous Year Question Bank

The general value of $\theta$, satisfying the equations $\sin \theta =-\frac{1}{2}$ and $\tan \theta =\frac{1}{\sqrt{3}}$ is:

Angle of elevation of the top of the tower from 3 points (collinear) A, B and C on road leading to the foot of tower are 30°,45° and 60°,respectively. The ratio of AB and BC is

An airplane, when $4000$ m high from the ground, passes vertically above another airplane at an instant when the angles of elevation of the two airplanes from the same point on the ground are $60^{\circ }$ and $30^{\circ }$, respectively. Find the vertical distance between the two airplanes.

The angles of depression of the top and bottom of an $8$ m tall building from the top of a multi-storied building are $30^{\circ }$ and $45^{\circ }$, respectively. Find the height of the multi-storied building and the distance between the two buildings.

A tower subtends an angle of $30^{\circ }$ at a point on the same level as the foot of the tower. At a second point $h$ meters above the first, the depression of the foot of the tower is $60^{\circ }$. What is the horizontal distance of the tower from the point?