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 : At 129 m away from the foot of a cliff on level ground, the angle of elevation of the top of the cliff is 30°. The height of this cliff is:

Option 1: $50\sqrt{3}$ m

Option 2: $45\sqrt{3}$ m

Option 3: $43\sqrt{3}$ m

Option 4: $47\sqrt{3}$ m

Question : From 40 metres away from the foot of a tower, the angle of elevation of the top of the tower is 60°. What is the height of the tower?

Option 1: $\frac{120}{\sqrt{3}}$ m

Option 2: $\frac{60}{{\sqrt3}}$ m

Option 3: $\frac{50}{{\sqrt3}}$ m

Option 4: $\frac{130}{{\sqrt7}}$ m

Question : The respective ratio between the height of the tower and the point at some distance from its foot is $5\sqrt{3}:5$. What will be the angle of elevation of the top of the tower?

Option 1: 30°

Option 2: 60°

Option 3: 90°

Option 4: 45°

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