Question

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

Answer 1

We can start solving a using sine function. We have

`\begin{gathered} \sin A=(opp)/(hyp) \\ \sin A=(a)/(c) \\ a=\sin A* c \\ a=\sin (25)*9=3.8 \end{gathered}`

To solve b, use the Pythagorean theorem. We have

`\begin{gathered} b=\sqrt[]{c^2-a^2} \\ b=\sqrt[]{9^2-3.8^2} \\ b=8.2 \end{gathered}`

To solve angle B, we have

`\begin{gathered} A+B+90=180 \\ B=180-90-25 \\ B=65 \end{gathered}`