Question

Based on the diagram below, which expression can be used to determine the distance between Seattle, WA, and San Francisco, CA?

Answer 1

a

Explanation:

Answer 2

We have been given diagram of a triangle. We are asked to write an expression that represents the distance between Seattle and San Francisco.

We will use law of cosines to solve our given problem.

`c^2=a^2+b^2-2ab\text{cos}(C)`, where a, b and c are sides corresponding to angle A, B and C.

Let the distance between Seattle and San Francisco be 'c' and
`C=21.4`.

Using law of sines, we can set an equation as:

`c^2=1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)`

Upon taking square root in both sides, we will get:

`c=\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}`

Therefore, we can use the expression
`\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}` can be used to find distance between Seattle, WA, and San Francisco, CA.