Question

PLS HELP ASAP:Find all the missing elements:

Answer 1

Answer:

b ≈ 9.5, c ≈ 14.7

Step-by-step explanation:

Using the Sine rule in Δ ABC, that is

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values

$\frac{7}{sin23}$ = $\frac{b}{sin32}$ ( cross- multiply )

b × sin23° = 7 × sin32° ( divide both sides by sin23° )

b = $\frac{7sin32}{sin23}$ ≈ 9.5 ( to the nearest tenth )

Also

$\frac{a}{sinA}$ = $\frac{c}{sinC}$

$\frac{7}{sin23}$ = $\frac{c}{sin125}$ ( cross- multiply )

c × sin23° = 7 × sin125° ( divide both sides by sin23° )

c = $\frac{7sin125}{sin23}$ ≈ 14.7 ( to the nearest tenth )