Question

the equation sin(40°) = \frac{b}{20} can be used to determine the length of line segment ac. what is the length of \overline{ac}? round to the nearest tenth. 11.8 cm 12.9 cm 14.9 cm 15.3 cm

Explanation:

Step1: Solve for b

$b = 20 \times \sin(40^\circ)$

Step2: Calculate value

$\sin(40^\circ) \approx 0.6428$, $b \approx 20 \times 0.6428 = 12.856$

Step3: Round to nearest tenth

$b \approx 12.9$

Answer:

B. 12.9 cm