Answer:
55.52°
Explanation:
Concept tested: Sine rule of triangles
We need to know the sine rule
- According to sine rule, if the three sides of a triangle are a, b and c and the corresponding angles, A, B and C
- Then, [tex]\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}[/tex]
In this case;
- If we take, a = 5.7 units and A = 70°, and
b= 5 units, B = x°
- Using the sine rule we can find the value of x
Therefore;
[tex]\frac{a}{SinA}=\frac{b}{SinB}[/tex]
Then;
[tex]\frac{5.7}{Sin70}=\frac{5}{Sinx}[/tex]
[tex]6.0658=\frac{5}{sinx}[/tex]
[tex]Sinx=0.8243[/tex]
Therefore, X = 55.52°
Therefore, the value of x in the triangle is 55.52°
