Question

SHOW PROCESS!!!
Will mark brainly!!
Thank you!

Answer 1

Answer:

Step-by-step explanation:

By applying cosine rule in the given triangle,

c² = a² + b²-2abcosC

c² = (5.6)² + (10.7)² - 2(5.6)(10.7)cos(109.3°)

c² = 185.46

c = 13.6 km

By applying sine rule in the given triangle ABC,

$\frac{\text{sin}A}{a}= \frac{\text{sin}B}{b}= \frac{\text{sin}C}{c}$

$\frac{\text{sin}A}{5.6}=\frac{\text{sin}B}{10.7}=\frac{\text{sin}109.3}{13.6}$

$\frac{\text{sin}B}{10.7}=\frac{\text{sin}109.3}{13.6}$

sin(B) = $\frac{10.7\times \text{sin}(109.30)}{13.6}$

         = 0.7425

B = $\text{sin}^{-1}(0.7425)$

B = 48.0°

$\frac{\text{sin}A}{5.6}=\frac{\text{sin}109.3}{13.6}$

sin(A) = $\frac{[\text{sin}(109.3)]\times (5.6)}{13.6}$

         = 0.3886

A = $\text{sin}^{-1}(0.3886)$

A = 22.9°