Question

Find the value of x in the triangle

Answer 1

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, $\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}$

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;

$\frac{a}{SinA}=\frac{b}{SinB}$

Then;

$\frac{5.7}{Sin70}=\frac{5}{Sinx}$

$6.0658=\frac{5}{sinx}$

$Sinx=0.8243$

Therefore, X = 55.52°

Therefore, the value of x in the triangle is 55.52°