Answer:
13
Step-by-step explanation:
[tex]Sin = \frac{opp}{hyp} \\cos= \frac{adj}{hyp} \\tan = \frac{opp}{adj}[/tex]
=> get the length of the diag on bottom
[tex]tan x = \frac{3}{4} x = 36.87[/tex] degree
[tex]sin(36.87)=\frac{3}{y}[/tex]
y is about 5
=> calculate max length of stick
[tex]tan\left(x\right)\:=\frac{5}{12}, x= 22.62degree[/tex]
[tex]sin\left(22.62\right)\:=\:\frac{5}{x}[/tex]
which is 13
