suppose c= 9 and A= 25 degrees. find:a=b=B= __ degreesgive all answers to at least one decimal place. give angles in degrees

We can start solving a using sine function. We have
[tex]\begin{gathered} \sin A=\frac{opp}{hyp} \\ \sin A=\frac{a}{c} \\ a=\sin A\times c \\ a=\sin (25)\times9=3.8 \end{gathered}[/tex]To solve b, use the Pythagorean theorem. We have
[tex]\begin{gathered} b=\sqrt[]{c^2-a^2} \\ b=\sqrt[]{9^2-3.8^2} \\ b=8.2 \end{gathered}[/tex]To solve angle B, we have
[tex]\begin{gathered} A+B+90=180 \\ B=180-90-25 \\ B=65 \end{gathered}[/tex]