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Nina [5.8K]
3 years ago
5

8. Calculate the length of r or st

Mathematics
1 answer:
9966 [12]3 years ago
4 0

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.

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