There are two tall buildings on the ground, Building A and Building B. It is known that Building A is taller than Building B, and the horizontal distance between the two buildings is 150 meters. A person pulls a rope from the top of Building A to the top of Building B, and measures the angle of depression to the top of Building B from the top of Building A as $22^{\circ}$. Assuming the rope is pulled straight, which of the following options is closest to the length of the rope (unit: meters)? (Note: The angle of depression is the angle between the line of sight and the horizontal line when looking down at an object) (1) $150$ (2) $150 \sin 22^{\circ}$ (3) $150 \cos 22^{\circ}$ (4) $\frac{150}{\cos 22^{\circ}}$ (5) $\frac{150}{\sin 22^{\circ}}$
There are two tall buildings on the ground, Building A and Building B. It is known that Building A is taller than Building B, and the horizontal distance between the two buildings is 150 meters. A person pulls a rope from the top of Building A to the top of Building B, and measures the angle of depression to the top of Building B from the top of Building A as $22^{\circ}$. Assuming the rope is pulled straight, which of the following options is closest to the length of the rope (unit: meters)? (Note: The angle of depression is the angle between the line of sight and the horizontal line when looking down at an object)
(1) $150$
(2) $150 \sin 22^{\circ}$
(3) $150 \cos 22^{\circ}$
(4) $\frac{150}{\cos 22^{\circ}}$
(5) $\frac{150}{\sin 22^{\circ}}$