Chapter 7 - Applications of Trigonometric Functions - Section 7.3 The Law of Cosines - 7.3 Assess Your Understanding - Page 559: 37

$A= 80^\circ$ $b \approx8.74$, $c \approx13.8$

1. Find the third angle $A=(180-35-65)=80^\circ$ 2. Use the Law of Sines, we have $\frac{15}{sin80^\circ}=\frac{b}{sin35^\circ}=\frac{c}{sin65^\circ}$, 3. thus $b=\frac{15sin35^\circ}{sin80^\circ}\approx8.74$, $c=\frac{15sin65^\circ}{sin80^\circ}\approx13.8$