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Answer: 6.13Step-by-step explanation:Using Sine Law we know that[tex]\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}[/tex]Using your figure let's assign sides and angles:A=? B = 60° C = 70°a = 5 b = ? c = xIf we put that into our formula:[tex]\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}[/tex]Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°∠A + ∠B + ∠C= 180°∠A + 60° + 70° = 180°∠A + 130° = 180°∠A = 180° - 130°∠A = 50°Now we can use this to solve for x. [tex]\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x[/tex]So the closest answer would be 6.13

Answer:The correct answer option is 6.13.Step-by-step explanation:We are given a scalene triangle which has no equal side and we are to find the unknown side length x.Since the total measure of angles of a triangle is 180°, so we can find the measure of the unknown angle.180° - 70° + 60° = 50°Now we can use the sine formula to find the value of x.[tex]\frac{x}{sin70} =\frac{5}{sin50}[/tex][tex]x=\frac{5}{sin50} \times sin70[/tex][tex]x=6.13[/tex]

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