Question

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

Answer 1

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

`\begin{gathered} \text{hypotenuse}=c=31 \\ \text{Adjacent}=a \\ \theta=57^0 \end{gathered}`
`\begin{gathered} \cos \theta=(adjacent)/(Hypotenuse) \\ \cos 57^0=(a)/(31)\ldots.\text{ cross multiply} \\ a=31* cos57^0 \end{gathered}`
`\begin{gathered} a=31*0.8999 \\ a=27.89 \end{gathered}`

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