Question

what is the length of $overline{bc}$? round to the nearest tenth.
6.8 cm
7.5 cm
14.5 cm

Explanation:

Step1: Identify trigonometric ratio

$\sin(65^\circ) = \frac{BC}{AB}$

Step2: Substitute known values

$\sin(65^\circ) = \frac{x}{16}$

Step3: Solve for x

$x = 16 \times \sin(65^\circ)$

Step4: Calculate and round

$x \approx 16 \times 0.9063 \approx 14.5$

Answer:

14.5 cm