First figure,
With respect to the angle, we have >>>
opposite side (15)
adjacent side (x)
Thus, the ratio of opposite to adjacent is tangent.
Solving for x:
[tex]\begin{gathered} \tan 61=\frac{15}{x} \\ x\tan 61=15 \\ x=\frac{15}{\tan 61} \\ x=8.3 \end{gathered}[/tex]
Second figure,
With respect to the angle, we have >>>
opposite side (x)
hypotenuse (14)
Thus, the ratio of opposite and hypotenuse is sine.
Solving for x,
[tex]\begin{gathered} \sin 62=\frac{x}{14} \\ x=14\sin 62 \\ x=12.4 \end{gathered}[/tex]
