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3 years ago

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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