+1206 In \(\triangle{RST}\), shown, \(\sin{R}=\frac{2}{5}\). What is \(\sin{T}\)?
+9466 sin( angle ) = opposite / hypotenuse
sin( R ) = TS / 5
2 / 5 = TS / 5
2 = TS
Now we can find the length of RS using the Pythagorean Theorem.
22 + RS2 = 52
RS2 = 52 - 22
RS2 = 21
RS = √[ 21 ]
sin( angle ) = opposite / hypotenuse
sin( T ) = RS / 5
sin( T ) = √[ 21 ] / 5
