KaedinY388152 KaedinY388152
  • 25-10-2022
  • Mathematics
contestada

If triangle ABC with C =90°,if C = 31MM & B equals 57° then a equals

If triangle ABC with C 90if C 31MM amp B equals 57 then a equals class=

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BetteT120191 BetteT120191
  • 25-10-2022

SOLUTION

Step1; Draw the Triangle and locate the angles

We are to obtain the value of a that is the side |BC|

Applying trigonometry ratios we have

[tex]\begin{gathered} \text{hypotenuse}=c=31 \\ \text{Adjacent}=a \\ \theta=57^0 \end{gathered}[/tex][tex]\begin{gathered} \cos \theta=\frac{adjacent}{Hypotenuse} \\ \cos 57^0=\frac{a}{31}\ldots.\text{ cross multiply} \\ a=31\times cos57^0 \end{gathered}[/tex][tex]\begin{gathered} a=31\times0.8999 \\ a=27.89 \end{gathered}[/tex]

Then the value of a = 28mm to the nearest whole number

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