The expression is: a. StartFraction (3) sine (66 degrees) Over sine (38 degrees) EndFraction
Step-by-step explanation:
The Law of Sines is written as;
[tex]\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}[/tex]
where a, b,c are sides of the triangle and side a faces angle A , side b faces angle B and side c faces angle C.
In this case,
Dividing side AB by sin 38° equals dividing side BC by sin 66°
[tex]\frac{3}{sin38} =\frac{BC}{sin66} \\\\[/tex]
3/0.61566147532 = BC/0.91354545764
4.87280773645 = BC/0.91354545764
BC=4.87280773645*0.91354545764 =4.45153137359
Approximate length is = 4.5 and the expression is: 3 sine 66°/ sine 38°
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Law of sines :https://brainly.com/question/3617061
Keywords: expression, length, line segment
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