The combined length of cables is,
[tex]r+s=50[/tex]
Determine the measure of cable r by using pythagoras theorem.
[tex]\begin{gathered} r^2=(16)^2+(12)^2 \\ =256+144 \\ =400 \\ r=\sqrt[]{400} \\ =20 \end{gathered}[/tex]
Determine the measure of cable s.
[tex]\begin{gathered} 20+s=50 \\ s=50-20 \\ =30 \end{gathered}[/tex]
For angle x, perpendicular is 16 and hypotenuse is 30.
Determine the measure of angle x.
[tex]\begin{gathered} \sin x=\frac{16}{30} \\ x=\sin ^{-1}(0.533) \\ =32.208^{\circ} \\ =32^{\circ} \end{gathered}[/tex]
Thus, measure of angle x is 32 degree.
