The relative locations of Marilyn's house, Bobby's house, and Kimberly's house are shown in the figure.What is the distance from Kimberly's house to Marilyn's house?Enter your answer in the box. Round your final answer to the nearest whole number.__ mi

Alright, so, I'm so happy cause I got 100%, but this is how you solve the problem.

Since we have the info, here's the formula for it: [tex] \frac{sinA}{a} = \frac{sinB}{b} [/tex]

Since it doesn't have ΔABC, We'll use the acronyms of their names to make it easier. ΔMBK. We're solving for the length of K to M.
[tex] \frac{sinB}{b} = \frac{sinK}{k} [/tex]

[tex] \frac{sin50}{b} = \frac{sin63}{14} [/tex]

The substitutions for these are the numbers that represent them and the b is the length between K and M.

[tex]14sin50 = bsin63 [/tex]
[tex] \frac{14sin50}{sin63} = \frac{bsin63}{sin63} [/tex]
[tex]12.0365248879...=b[/tex]

b = 12.0

Hope this helps you. :D