Question

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

Answer 1

the person above has a good explanation but to make it more simple it is B, .86 mi.

Explanation:

edit : lol i accidentally rated myseld 1 star im not capping, this is the right answer on edge 2020

Answer 2

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
Answer:
The distance between the park and Joey's house is:
c = 0.86 miles