Question

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

Answer 1

The answer is A: the sqaureroot of 1858^2+1737^2-2(1858)(1737)cos21.4

Explanation:

Answer 2

the distance between Seattle, WA, and San Francisco, CA is 677 miles

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

In the photo, given the information:

• The distance from Seattle to Chicago (SC) is: 1373 miles
• The distance from Chicago to San Francisco (CF) is: 1858 miles
• The angle of Chicago in the triangle is 21.4 °

In this situation, we will use cosine law to find the distance between Seattle, WA, and San Francisco, CA

Let x is the distance we need to find, we have:

`x^(2)` =
`SC^(2) + CF^(2) - 2SC*CF*Cos(chicago)`

<=>
`x^(2)` =
`1737^(2) + 1858^(2) - 2*1737*1858*Cos(21.4)`

<=>
`x^(2)` = 459654 miles

<=> x = 677 miles

Hence, the distance between Seattle, WA, and San Francisco, CA is 677 miles

Hope it will find you well.