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What is the length of BC to the nearest 10th of a centimeter

What is the length of BC to the nearest 10th of a centimeter-example-1
User Noelmcg
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Step 1: sketch out the right angled triangle

Step 2: calculate the value BC

To calculate the value of BC we will use the trigonometric ratio


\begin{gathered} \sin \theta=(opp)/(hyp) \\ \text{where,} \\ \text{opp}=BC \\ \text{Hyp}=6.2\operatorname{cm} \\ \theta=32^0 \end{gathered}

By substituting the values, we will have


\begin{gathered} \sin 32^0=(BC)/(6.2) \\ BC=6.2*\sin 32^0 \\ BC=6.2*0.5299 \\ BC=3.2854\operatorname{cm} \\ \text{appro}\xi\text{mately to the nearest tenth we will have} \\ BC=3.3\operatorname{cm} \end{gathered}

Hence,

The value of BC =3.3cm

What is the length of BC to the nearest 10th of a centimeter-example-1
User David West
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