Math Module 2 (Easy) Question 22

The correct answer is Choice B.

Draw the triangle $PQR$ and find $sin⁡(R)$ which is equal to $sin⁡(U)$ due to similarity of triangle $STU$.

Choice A is incorrect and may result from finding $tan⁡(U)$, instead of $sin⁡(U)$.

Choice C is incorrect and may result from finding $cos⁡(U)$, instead of $sin⁡(U)$.

Choice D is incorrect and may result from finding $tan⁡(S)$, instead of $sin⁡(U)$.

✨ Expert's Tip ✨

The dimensions of similar triangles are not always the same, but the ratio of the side lengths is the same. Also, all the internal angles are identical.