Answer: D) 40 degrees
Step-by-step explanation:
Let A = θ
then a = 2 b = 3 c = 1.75
Use the Law of Cosines:
a² = b² + c² - 2bc · cos A
2² = 3² + 1.75² - 2(3)(1.75) · cos θ
4 = 9 + 3.0625 - 10.5 cos θ
4 = 12.0625 - 10.5 cos θ
-8.0625 = -10.5 cos θ
[tex]\dfrac{-8.0625}{-10.5}=\cos \theta\\\\\\\cos^{-1}\bigg(\dfrac{-8.0625}{-10.5}\bigg)=\theta\\\\\\\large\boxed{39.838=\theta}[/tex]
