9514 1404 393
Answer:
30 miles
Step-by-step explanation:
The Law of Sines is used for this purpose. The angle at R is the difference ...
180° -(23° +34°) = 123°
Then the length r satisfies ...
ST/sin(R) = RT/sin(S)
ST/sin(123°) = (20 mi)/sin(34°)
ST = (20 mi)sin(123°)/sin(34°) ≈ 30.00 mi
The length of r or ST is 30 miles.
