Chapter 7 - Applications of Trigonometric Functions - Section 7.2 The Law of Sines - 7.2 Assess Your Understanding - Page 551: 22

$A =70^\circ$ $a \approx10.82$ $c \approx11.34$

1. Find the third angle $A=180-100-10=70^\circ$ 2. Use the Law of Sines, we have $\frac{a}{sin70^\circ}=\frac{c}{sin100^\circ}=\frac{2}{sin10^\circ}$ 3. $a=\frac{2sin70^\circ}{sin10^\circ}\approx10.82$ 4. $c=\frac{2sin100^\circ}{sin10^\circ}\approx11.34$