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 : The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60° and 30°, respectively. Then the height of the temple is:

Option 1: 50 metres

Option 2: 43 metres

Option 3: 40 metres

Option 4: 45 metres

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 an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60°. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

Option 1: $40 \sqrt{3}$

Option 2: $\frac{151 \sqrt{3}}{6}$

Option 3: $\frac{77}{4} \sqrt{3}$

Option 4: $\frac{40 \sqrt{3}}{3}$

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