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