Answer:
b = 1.88 units
Step-by-step explanation:
From the law of cosine
b² = a² + c² - 2ac cos B
Now we plug in the values of a = 2, c = 3 and ∠8 = 38°
b² = 2² + 3² - 2 × 2 × 3 cos 38°
b² = 4 + 9 - 12 (0.78801)
= 13 - 9.456
= 3.5438
b = [tex]\sqrt{3.5438}[/tex]
= 1.88 units
Therefore, b = 1.88 units
