Final answer:
The electric flux through the sheet of paper is approximately 7.6 Nm^2/C.
Step-by-step explanation:
The electric flux through a flat sheet of paper can be calculated using the formula: Electric Flux = Electric Field * Area * cos(theta), where theta is the angle between the normal to the sheet and the electric field. In this case, the electric field has a magnitude of 20 N/C and the area of the sheet is 0.370 m^2. The angle between the normal to the sheet and the electric field is 67 degrees. Plugging these values into the formula, we get:
Electric Flux = 20 N/C * 0.370 m^2 * cos(67°)
Simplifying the cosine, we find:
Electric Flux ≈ 7.6 Nm^2/C