Question : A person observes that the angle of elevation at the top of a pole of height 5 metres is 30°. Then the distance of the person from the pole is:

Option 1: $5\sqrt3$ metres

Option 2: $\frac{5}{\sqrt3}$ metres

Option 3: $\sqrt3$ metres

Option 4: $10\sqrt3$ metres

Question : If the height of a pole is $2\sqrt{3}$ metres and the length of its shadow is 2 metres, then the angle of elevation of the sun is:

Option 1: 90°

Option 2: 45°

Option 3: 30°

Option 4: 60“

Question : From the top of a lighthouse at a height of 20 metres above sea-level, the angle of depression of a ship is 30°. The distance of the ship from the foot of the lighthouse is:

Option 1: $20$ m

Option 2: $20 {\sqrt3}$ m

Option 3: $30$ m

Option 4: $30 {\sqrt3}$ m

Question : The angle of elevation of a ladder leaning against a house is 60°, and the foot of the ladder is 6.5 metres from the house. The length of the ladder is:

Option 1: $\frac{13}{\sqrt{3}}$ metres

Option 2: $13$ metres

Option 3: $15$ metres

Option 4: $3.25$ metres

Question : A pole of length 7 m is fixed vertically on the top of a tower. The angle of elevation of the top of the pole observed from a point on the ground is 60° and the angle of depression of the same point on the ground from the top of the tower is 45°. The height (in m) of the tower is:

Option 1: $7(2 \sqrt{3}-1)$

Option 2: $\frac{7}{2}(\sqrt{3}+2)$

Option 3: $7 \sqrt{3}$

Option 4: $\frac{7}{2}(\sqrt{3}+1)$