Answer:
[tex]t \approx4.2cm[/tex]
Step-by-step explanation:
[tex] \frac{ \sin(T) }{t} = \frac{ \sin(U) }{u} [/tex]
[tex] \frac{ \sin(42) }{t} = \frac{ \sin(56) }{5.2} [/tex]
[tex](t) \sin(56) = (5.2) \sin(42) [/tex]
[tex] \frac{(t) \sin(56) }{ \sin(56) } = \frac{(5.2) \sin(42) }{ \sin(56) } [/tex]
[tex]t = \frac{(5.2) \sin(42) }{ \sin(56) } [/tex]
[tex]t =4.197010206cm[/tex]
[tex]t \approx4.2cm[/tex]