Question

Consider the triangle shown in the diagram below.Suppose that m∠A=80∘, a=6.17, and b=4.22. (The diagram above is not necessarily to scale.)What is the value of m∠B?m∠B=  °   What is the value of c?c=

Answer 1

ANSWER

[tex]\begin{gathered} a)EXPLANATION

a) To find the measure of apply sine rule that states that:

Therefore:

[tex]\frac{\sin(Therefore, for the given triangle:[tex]\begin{gathered} \frac{\sin80}{6.17}=\frac{\sin (That is the measure of

b) To find c, we first have to find The sum of angles in a triangle is 180°.

Therefore:

[tex]\begin{gathered} Now, apply sine rule:[tex]\begin{gathered} \frac{\sin(That is the value of c.