Solve the equation for a: asin⁡(46∘)=56sin⁡(63∘) by using the cross-products principle to clear fractions from the proportion: If ab=cd, then ad=bc.(b≠0 and d≠0)

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Solve the equation for a: asin⁡(46∘)=56sin⁡(63∘) by using the cross-products principle to clear fractions from the proportion: If ab=cd,  then  ad=bc.(b≠0  and  d≠0)

coffentw · Accepted Answer

Step 1 Given equation: Using the principle of fractions: ab=cd We know that : We cross multiply the fractions and then we get : ad=bc Step 2 Hence, We use the same principle and cross multiply the fractions to get: asin⁡(63∘)=56sin⁡(46∘) a=56sin⁡(46∘)sin⁡(63∘) Since   sin⁡(46∘)=0.719 sin⁡(63∘)=0.891 Substituting these values in the equation for a: a=56×0.7190.891 a=40.2640.891=45.19 a=45.19 Answer rounded to the nearest tenth: Value of a :=45.2

Solve the equation for a: \frac{a}{\sin(46^\circ)}=\frac{56}{\sin(63^\circ)}Z

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