Question

6 1 point Solve for y. Round your answer to the nearest 2 decimal places. 20 у A

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} AB=20 \\ AC=x \\ BC=y \\ m\angle A=16^(\circ) \end{gathered}`

Since we have 1 known side & 1 known angle, we will solve using Trigonometric Ratio (SOHCAHTOA). In this case, we will use SOH

`\begin{gathered} SOH\Rightarrow Sin\theta=(opposite)/(hypotenuse) \\ opposite=BC=y \\ hypotenuse=AB=20 \\ \theta=16^(\circ) \\ Sin16^(\circ)=(y)/(20) \\ y=Sin16^(\circ)(20)=5.51 \\ y=5.51 \end{gathered}`