MCA Entrance Previous Year Question Bank

If two towers of heights $h_1$ and $h_2$ subtend angles $60^{\circ }$ and $30^{\circ }$ respectively at the mid-point of the line joining their feet, then $h_1:h_2$ is:

A person stands at a point $A$ due south of a tower and observes that its elevation is $60^{\circ }$. He then walks westwards towards $B$, where the elevation is $45^{\circ }$. At a point $C$ on $AB$ produced, he finds it to be $30^{\circ }$. Then $AB/BC$ is equal to:

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse observed from the ships are $30^{\circ }$ and $45^{\circ }$ respectively. If the lighthouse is $100\text{ m}$ high, the distance between the two ships is: