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 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 : A ladder leaning against a window of a house makes an angle of $60^{\circ}$ with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is closest to:

Option 1: 7.3 m

Option 2: 6.8 m

Option 3: 7.8 m

Option 4: 7 m

Question : A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall, and the ladder is making an angle of 60° with the ground. When a man starts climbing on it, it slips and now the ladder makes an angle of 30° with the ground. How much did the ladder slip from the top of the wall?

Option 1: 12 ft

Option 2: 20 ft

Option 3: 7.32 ft

Option 4: 18 ft

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