Question

What is the error in this problem

Answer 1

10). m∠x = 47°

11). x = 30.96

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* (\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* (\text{Sin50})}{\text{Sin120}}`

x = 30.96