9514 1404 393
Answer:
41.4
Explanation:
The Law of Cosines tells you ...
a² = b² +c² -2bc·cos(A)
where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...
a² = 30² +26² -2·30·26·cos(95°)
a² ≈ 1711.96
a ≈ √1711.96 ≈ 41.38
The length of BC is about 41.4 units.