Final answer:
The question asking for the percentage decrease in a rocket's weight at a height of 6 km above Earth's surface does not have a matching answer from the provided options. As the altitude increase is minimal compared to Earth’s radius, the decrease in weight would be less than 1%, which is smaller than the smallest provided option of 4%.
Step-by-step explanation:
The question pertains to the percentage decrease in the weight of a rocket when it is taken to a height of 6 km above the surface of the Earth. To calculate the percentage decrease, we need to know how weight varies with altitude. Weight on Earth is the gravitational force exerted on an object, which depends on the mass of the object and the gravitational field strength at a given location. The gravitational force decreases as one moves away from the surface of the Earth, because gravitational field strength decreases with distance from the center of the Earth.
However, the decrease in weight within just 6 km is very small, since this height is not significantly large compared to the radius of the Earth (about 6,371 km). Therefore, the change in the gravitational field strength is minimal at this altitude. For small changes in altitude, the decrease in weight is roughly proportional to the change in distance from the center of the Earth. Since 6 km is roughly 0.1% of the Earth's radius, we can estimate that the weight change would be a fraction of this percentage, certainly less than 1%.
Without precise calculations and given the options A through D, the closest valid estimation of the weight decrease at 6 km altitude would therefore be significantly less than any of the values provided (4%, 6%, 8%, or 10%). So, based on our understanding of the physics involved, none of the options A, B, C, or D are correct. If forced to choose from the options, we would select the smallest one, but it should be noted that this would not accurately reflect the minuscule change in weight at the altitude specified.
As the information provided doesn't align with the question asked, it is not possible to mention the correct option answer in the final answer, since the actual percentage decrease is not among the provided options.