Answer:
b = 5.7
A = 51.1°
B = 38.9°
Explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:
![sin(A) = (Opp)/(Hyp)](https://img.qammunity.org/2022/formulas/mathematics/college/fzea4izu1eggs4zp40wi4mu543xb5j8zh1.png)
![sin(A) = (7)/(9)](https://img.qammunity.org/2022/formulas/mathematics/college/jom5z2edh27gr7wd0q11yzm16f66ei9rju.png)
![A = sin^(-1)((7)/(9))](https://img.qammunity.org/2022/formulas/mathematics/college/chjj9zzuiu53h6iwoan56z3qlr2t08rdpp.png)
A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°