Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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.