Answer:
20 feet
Step-by-step explanation:
-Given the height of the slide above the ground is 12 ft
-This is a Pythagorean Theorem Problem and we use the Law of Sine to find the slide's length:
[tex]\frac{a}{Sin\ A}=\frac{b}{Sin\ B}\\\\\frac{12}{Sin \ 37\textdegree}=\frac{Length \ of \ Slide}{Sin \ 90\textdegree},\ \ \ Sin \ 90\textdegree=1\\\\\therefore Length=\frac{12}{Sin \ 37\textdegree}\\\\=19.94\ ft[/tex]
[tex]\approx 20\ ft[/tex]
Hence, the length of the slide is 20 feet
