Question

A satellite calculates the distances and angles shown below (figure not to scale). Find the distance between the two cities. Round answers to the nearest kilometer.

Answer 1

`c=37.78\text{ km (distance between the two cities)}`

Step by step explanation:

To find the distance between the two cities, we can use the law of cosines, which is represented by the following expression and diagram:

Then, for the situation with m
`\begin{gathered} c^2=180^2+220^2-2(180)(220)\cos (3.4) \\ c^2=80800--79060.59437 \\ c=\sqrt[]{1427.3284}=37.78\text{ km} \end{gathered}`