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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

For triangle PQR and triangle STU, angles P and S each measure $30^{\circ }$. $QR=16$ and $TU=12$. Which additional piece(s) of information is(are) sufficient to prove that triangle PQR is similar to triangle STU?

I. The length of $\overline{PQ}$ is $\frac{4}{3}$ the length of $\overline{ST}$
II. The length of $\overline{PR}$ is $\frac{4}{3}$ the length of $\overline{SU}$

A

I is sufficient, but II is not.

B

II is sufficient, but I is not.

C

I is sufficient, and II is sufficient.

D

Neither I nor II is sufficient.