Final answer:
The angle needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity in half can be determined using the concept of polarization.
Step-by-step explanation:
The angle needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity in half can be determined using the concept of polarization. When polarized light passes through a polarizing filter, its intensity is reduced. In this case, to cut the intensity in half, we need to find the angle that achieves this reduction.
According to the provided information, at an angle of 18.4°, the intensity of polarized light is reduced to 90% of its original value. Therefore, the angle needed to cut the intensity in half can be calculated by finding the angle at which the intensity is reduced to 50% of its original value.
The exact angle can be determined using trigonometry or by interpolating the given data points. However, since the specific values for intensity are not provided, it is not possible to calculate the exact angle without additional information.