Question

find bc.
write your answer as an integer or as a decimal rounded to the nearest tenth.
bc =
submit
work it out

Explanation:

Step1: Identify trigonometric ratio

We use sine of angle A: $\sin(A) = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{BC}{AC}$

Step2: Substitute known values

$\sin(33^\circ) = \frac{BC}{\sqrt{86}}$

Step3: Solve for BC

$BC = \sqrt{86} \times \sin(33^\circ)$
Calculate $\sqrt{86} \approx 9.2736$, $\sin(33^\circ) \approx 0.5446$
$BC \approx 9.2736 \times 0.5446 \approx 5.05$

Step4: Round to nearest tenth

$BC \approx 5.1$

Answer:

$5.1$