Question
Distances between objects in space are so vast,they are difficult to comprehend. Therefore, it can be helpful to look at scale models. Consider a scale model of the Solar System where the Earth-Sun distance (149,600,000km) is represented as 1.0 metre. In this scale model, how far would Saturn be from the Sun? 3.9 metres 5.2 metres 9.5 metres 12.1 metres 19.2 metres 22.8 metres
Solution
4.1
(297 Votes)
Raquel
Elite · Tutor for 8 years
Answer
Here's how to solve this problem:1. **Find the actual Earth-Sun distance:** The problem states this is 149,600,000 km.2. **Find the actual Saturn-Sun distance:** A quick search reveals the average Saturn-Sun distance is about 1,433,530,000 km.3. **Set up a proportion:** We can create a proportion to relate the real distances to the scale model distances. (Earth-Sun distance real) / (Earth-Sun distance scale) = (Saturn-Sun distance real) / (Saturn-Sun distance scale)4. **Plug in the values:** 149,600,000 km / 1.0 m = 1,433,530,000 km / x m5. **Solve for x:** x = (1,433,530,000 km * 1.0 m) / 149,600,000 km x ≈ 9.58 mTherefore, in the scale model, Saturn would be approximately 9.5 meters from the Sun. So the correct answer from the choices provided is
.