Answer:
a is approximately 28 inches
Explanation:
Given a = ?, A = ?, b = 68, B = 65 degrees, C = 93 degrees
Since the sum of angles in a triangle is 180 degrees, we have
A = 180 - (93 + 65)
= 180 - 158
= 22 degrees
We have:
[tex]\frac{a}{\sin A}=\frac{b}{\sin B}[/tex]
The above is called the Sine Rule.
Substituting the given parameters, we have:
[tex]\begin{gathered} \frac{a}{\sin 22}=\frac{68}{\sin 65} \\ \\ a=\frac{68}{\sin65}\times\sin 22 \\ \\ =28 \end{gathered}[/tex]
a is approximately 28 inches
