The length of TY is 2.26.
Solution:
In ΔTRY, θ = 37°, Adjacent side = 3.
To find the length of TY.
Using trigonometry identity,
[tex]$\tan\theta=\frac{{opposite}}{{Adjacent}}[/tex]
[tex]$\tan37^\circ=\frac{{TY}}{3}[/tex]
[tex]$3\tan37^\circ=TY[/tex]
[tex]$3\times 0.75355=TY[/tex]
[tex]$TY=2.26065[/tex]
TY = 2.26
Hence the length of TY is 2.26.
