Question:
Solution:
Step 1: Applying the Pythagorean theorem, we find the length of the new path:
![\text{new road = }\sqrt[]{(8000)^2+(15000)^2}\text{ = }17000](https://img.qammunity.org/2023/formulas/mathematics/college/yop2mjt0jo5q8s510ibm8fdhxfilkhv7ru.png)
Step 2: Convert the above value to kilometers:
![17000\text{ m (}\frac{1\operatorname{km}}{1000m})\text{ = 17 km}]()
Step 3: Multiply the price per kilometer by the above value:
![17\text{ x }160000=\text{ 2720000}](https://img.qammunity.org/2023/formulas/mathematics/college/qcuhlcepyo4niu97ygzzn80zp3rhyn88a4.png)
so that, we can conclude that the correct answer is:
![\text{2720000}](https://img.qammunity.org/2023/formulas/mathematics/college/dgp7srmf11jc5e686v8wr57uv33rt877gw.png)