And explain! i have attached the question, it involves law of sine and law of cosine, however, i have no idea how to do this problem. im using 30 points .

the distance from the zoo to the movie theatre is 10 blocks.

Step-by-step explanation:

The triangle formed is not a right angle triangle. Since we know the lengths of two sides and the size of one angle, we would apply the cosine rule which is expressed as

c^2 = a^2 + b^2 - 2abCosC

Looking at the triangle,

a = 6

b = 8

c represents the distance from the zoo to the movie theatre.

C = 86 degrees

Therefore,

c^2 = 6^2 + 8^2 - 2 × 6 × 8 0.0698

c^2 = 36 + 64 - 6.7008

c^2 = 100 - 6.7008 = 93.2992

c = √93.2992

c = 9.66

Approximately 10 blocks

i just took the test, the correct answer is .. 31.5 in.