Question

solve the right triangle and round decimal answers to the nearest tenthi know its either option a or c but im not 100% sure which one

Answer 1

Step 1

Name all sides

Hypotanuse = 16 side facing right angle

Opposite = y side facing given angle

Adjacent = x

90 +

Step 2

Find the values of x and y

`\begin{gathered} \theta\text{ = 76} \\ \sin \theta\text{ = }\frac{\text{Opposite}}{\text{Hypotanuse}} \\ \sin 76\text{ = }(y)/(16) \\ 0.97\text{ = }(y)/(16) \\ \text{Cross multiply} \\ y\text{ = 0.97 x 16} \\ y\text{ = 15.52} \\ y\text{ = 15.5} \end{gathered}`
`\begin{gathered} \cos \theta\text{ = }\frac{adjacent}{\text{hypotanuse}} \\ \cos 76\text{ = }(x)/(16) \\ 0.24\text{ = }(x)/(16) \\ \text{Cross multiply} \\ x\text{ = 0.24 x 16} \\ x\text{ = 3.8}5 \\ x\text{ = 3}.9 \end{gathered}`