Answer:
[tex]\sin V = \frac{3}{5}[/tex], [tex]\tan Y = \frac{3}{4}[/tex]
Step-by-step explanation:
If [tex]\triangle RST \sim \triangle UVW \sim \triangle XYZ[/tex], then [tex]\angle S \cong \angle Y \cong \angle V[/tex]. By Trigonometry, we have the following expressions:
[tex]\sin V = \frac{RT}{RS}[/tex] (1)
[tex]\tan Y = \frac{RT}{ST}[/tex] (2)
If we know that [tex]RT = 3[/tex], [tex]ST = 4[/tex] and [tex]RS = 5[/tex], then the results of the trigonometric relations are, respectively:
[tex]\sin V = \frac{3}{5}[/tex], [tex]\tan Y = \frac{3}{4}[/tex]
