Question : The angle of elevation of the top of the pillar from the foot and the top of a building 20 m high, are 60° and 30°, respectively. The height of the pillar is:

Option 1: $10$ m

Option 2: $10\sqrt{3}$ m

Option 3: $60$ m

Option 4: $30$ m

Question : From the top of a building 60 metres high, the angles of depression of the top and bottom of a tower are observed to be $30^{\circ}$ and $60^{\circ}$, respectively. The height of the tower in metres is:

Option 1: 40

Option 2: 45

Option 3: 50

Option 4: 55

Question : From the top of a 20 metres high building, the angle of elevation from the top of a tower is 60° and the angle of depression of its foot is at 45°, then the height of the tower is: $(\sqrt{3} = 1.732)$

Option 1: 45.46 metres

Option 2: 45.64 metres

Option 3: 54.64 metres

Option 4: 54.46 metres

Question : Two persons are on either side of a temple, 75 m high, observe the angle of elevation from the top of the temple to be 30° and 60°, respectively. The distance between the persons is:

Option 1: 173.2 metres

Option 2: 100 metres

Option 3: 157.7 metres

Option 4: 273. 2 metres

Question : Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 metres, the distance between the two men is: (take $\sqrt{3}=1.732$)

Option 1: $136.6$ metres

Option 2: $50\sqrt{3}$ metres

Option 3: $100\sqrt{3}$ metres

Option 4: $135.5$ metres