Question

What is the error in this problem

Answer 1

Answer:

10). m∠x = 47°

11). x = 30.96

Step-by-step explanation:

10). By applying Sine rule in the given triangle DEF,

   $\frac{\text{SinF}}{\text{DE}}=\frac{\text{SinD}}{\text{EF}}$

   $\frac{\text{Sinx}}{7}=\frac{\text{Sin110}}{9}$

   Sin(x) = $\frac{7\times (\text{Sin110})}{9}$

   Sin(x) = 0.7309

   m∠x = $\text{Sin}^{-1}(0.7309)$

   m∠x = 46.96°

   m∠x ≈ 47°

11). By applying Sine rule in ΔRST,

   $\frac{\text{SinR}}{\text{ST}}=\frac{\text{SinT}}{\text{RS}}$

   $\frac{\text{Sin120}}{35}=\frac{\text{Sin50}}{x}$

   x = $\frac{35\times (\text{Sin50})}{\text{Sin120}}$

   x = 30.96