Based on the sketch below, how far is joey’s house from the park?

For this case we can use the law of cosine, which is given by:
 c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (theta)
 Substituting values we have:
 c ^ 2 = (1.2) ^ 2 + (1.3) ^ 2 - 2 * (1.2) * (1.3) * cos (40) 
 Clearing c we have:
 c = root ((1.2) ^ 2 + (1.3) ^ 2 - 2 * (1.2) * (1.3) * cos (40))
 c = 0.86 miles
 
 The distance between the park and Joey's house is:
 c = 0.86 miles

A. Yes because it passes the vertical line test