Answer: 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
