Respuesta :
The law of sines to find the value of y , round to the nearest
For :-StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction will be option (2) 1.6 units
i.e. y = 1.586 ≅ 1.6 units
Given:
Use right angled triangle with angles A,B&C with sides are a,b&c where a = 2 and b = y
The Sine rule,
[tex]\dfrac{a}{\rm \sin A}=\dfrac{b}{\rm \sin B}=\dfrac{c}{\rm \sin C}[/tex]
[tex]\rm \angle A = 75\textdegree\; and\; \angle B = 50\textdegree[/tex]
We will put the value of these angles in this formula i.e Law of Sine ,
[tex]\rm 2 \times \sin 50\textdegree = y \sin 75\textdegree\\\\\rm 2 \times 0.766 = y \times0.9659\\\\ y = 1.586 \cong 1.6\;units[/tex]
Therefore, StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction will be option (2) 1.6 units
i.e. y = 1.586 ≅ 1.6 units
Learn more about Properties of triangles here:https://brainly.com/question/14812565
