Respuesta :

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

[tex]\begin{gathered} \sin \theta=\frac{opp}{hyp} \\ \text{where,} \\ \text{opp}=BC \\ \text{Hyp}=6.2\operatorname{cm} \\ \theta=32^0 \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} \sin 32^0=\frac{BC}{6.2} \\ BC=6.2\times\sin 32^0 \\ BC=6.2\times0.5299 \\ BC=3.2854\operatorname{cm} \\ \text{appro}\xi\text{mately to the nearest tenth we will have} \\ BC=3.3\operatorname{cm} \end{gathered}[/tex]

Hence,

The value of BC =3.3cm

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