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garri49 [273]
3 years ago
14

What the correct answer fast

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

s = 5.8

Step-by-step Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

\frac{s}{sin(S)} = \frac{t}{sin(T)}

\frac{s}{sin(20)} = \frac{5}{sin(17)}

Multiply both sides by sin(20) to make s the subject of formula.

\frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20)

s = \frac{5*sin(20)}{sin(17)}

s = 5.8 (to nearest tenth)

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