We determine how high it is as follows (Law of sines):
[tex]\frac{19.1}{\sin(90)}=\frac{y}{\sin(54.1)}\Rightarrow y=\frac{19.1\sin(54.1)}{\sin(90)}\Rightarrow y\approx15.5[/tex]
So, the bottom of the diving board is located approximately 15.5 ft above the base.
