Question : A ladder is resting against a wall. The angle between the foot of the ladder and the wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

Option 1: 5.4

Option 2: 3.6

Option 3: 14.4

Option 4: 7.2

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 : A 22 m long ladder (whose foot is on the ground) leans against a wall making an angle of 60° with the wall. What is the height (in m) of the point where the ladder touches the wall from the ground?

Option 1: $\frac{22 \sqrt{2}}{3}$

Option 2: $11 \sqrt{2}$

Option 3: $11$

Option 4: $11 \sqrt{3}$

Question : A ladder is resting against a wall, The angle between the foot of the ladder and the wall is 45^o and the foot of the ladder is 6.6 m away from the wall. The length of the ladder (in m) is:

Option 1: $6.6 \times\sqrt{2}$

Option 2: $3.3 \times \sqrt{2}$

Option 3: $2.2 \times \sqrt{2}$

Option 4: $3.6 \times \sqrt{2}$

Question : The two banks of a canal are straight and parallel. A, B, and C are three persons, of whom A stands on one bank and B and C on the opposite banks. B finds the angle ABC is 30°, while C finds that the angle ACB is 60°. If B and C are 100 metres apart, the breadth of the canal is:

Option 1: $\frac{25}{\sqrt{3}}$ metres

Option 2: $20\sqrt{3}$ metres

Option 3: $25\sqrt{3}$ metres

Option 4: $\frac{20}{\sqrt{3}}$ metres