3 years ago

In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

9514 1404 393

Answer:

47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

sin(T)/t = sin(R)/r

sin(T) = (t/r)sin(R) = (10/20)sin(104°)

T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

S = 180° -R -T = 180° -104° -29°

∠S = 47°

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