1. Multiple choice questions I

1. If the ratio of the height of a tower and the length of its shadow is \(\sqrt{3}:1\), then the angle of elevation of the sun has measure:

 

2. The electric pole subtends an angle of \(30^{\circ}\) at a point on the same level as its foot. At a second point '\(b\)' metres above the first, the depression of the foot of the tower is \(60^{\circ}\). The height of the tower(in metres) is equal to

 

3. A tower is \(60 \ m\) height. Its shadow is \(x\) metres shorter when the sun's altitutde is \(45^{\circ}\) than when it has been \(30^{\circ}\), then \(x\) is equal to

 

4. The angle of depression of the top and bottom of \(20 \ m\) tall building from the top of a multistoried building are \(30^{\circ}\) and \(60^{\circ}\) respectively. The height of the multistoried building and the distance between two buildings (in metres) are