Answer:
39.0 km
Explanation:
The straight-line distance from the house to the park can be found using the Law of Cosines. The angle where the tourist turned is (180° -(67° -11°)) = 124°. The formula is ...
c = √(a² +b² -2ab·cos(C))
c = √(31² +12² -2(31)(12)cos(124°)) ≈ √1521.0395
c ≈ 39.00
The straight-line distance from the house to the park is 39 km.