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 : 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 : 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 ladder leaning against a wall makes an angle $\theta$ with the horizontal ground such that $\cos \theta=\frac{5}{13}$. If the height of the top of the ladder from the wall is 18 m, then what is the distance (in m) of the foot of the ladder from the wall?

Option 1: 18

Option 2: 7.5

Option 3: 13

Option 4: 19.5

Question : A ladder leaning against a wall makes an angle $\theta$ with the horizontal ground such that $\tan \theta=\frac{12}{5}$. If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?

Option 1: 18

Option 2: 19.5

Option 3: 7.5

Option 4: 10