If the length of the string of a kite flying in the sky is twice the height of the kite from the ground, then the angle of elevation of the kite is:

1. 30°

2. 45°

3. 60°

4. none of these

The angle of elevation of a tower from a distance of 100 m from its foot is 30°. The height of the tower is:

1. $\Big(\dfrac{100}{\sqrt{3}}\Big)$ m

2. $50\sqrt{3}$ m

3. $100\sqrt{3}$ m

4. $\Big(\dfrac{200}{\sqrt{3}}\Big)$ m

The length of a string between a kite and a point on the ground is 90 m. The string makes an angle of 60° with the level ground. If there is no slack in the string, the height of the kite is:

1. $45\sqrt{3}$ m

2. 45 m

3. $90\sqrt{3}$ m

4. 180 m

If the elevation of the sun changed from 30° to 60°, then the difference between the lengths of shadows of a pole 15 m high, made at these two positions is:

1. 7.5 m

2. 15 m

3. $5\sqrt{3}$ m

4. $10\sqrt{3}$ m