Question

Find all missing parts of the triangle. When necessary, round answers to the nearest tenth. ONLY enter the answer, not units ordegree symbols.B28САB (angle B)=a (side a)b(side b)Blank 1:Blank 2:Blank 3:

Answer 1

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

`\begin{gathered} \sin (28)=(a)/(7) \\ a=7\sin (28) \\ a=3.3\text{ } \end{gathered}`

Now, the side b:

`\begin{gathered} \cos (28)=(b)/(7) \\ b=7\cos (28) \\ b=6.2 \end{gathered}`

Having all the sides, we can calculate the angle B:

`\begin{gathered} \sin (B)=(6.2)/(7) \\ B=\sin ^(-1)((6.2)/(7)) \\ B=62.3\text{ degr}ees \end{gathered}`