IDNLearn.com provides a collaborative environment for finding and sharing answers. Get accurate and comprehensive answers from our network of experienced professionals.
To find all the missing parts of the triangle, we need to know the triangle trigonometry:
We can find the sides first, with the angle A=28 and the hypotenuse=7
[tex]\begin{gathered} \sin (28)=\frac{a}{7} \\ a=7\sin (28) \\ a=3.3\text{ } \end{gathered}[/tex]Now, the side b:
[tex]\begin{gathered} \cos (28)=\frac{b}{7} \\ b=7\cos (28) \\ b=6.2 \end{gathered}[/tex]Having all the sides, we can calculate the angle B:
[tex]\begin{gathered} \sin (B)=\frac{6.2}{7} \\ B=\sin ^{-1}(\frac{6.2}{7}) \\ B=62.3\text{ degr}ees \end{gathered}[/tex]