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: Isolate the variable b

Multiply both sides by 20. So, $b = 20\times\sin(40^{\circ})$.

Step2: Calculate the value of $\sin(40^{\circ})$

We know that $\sin(40^{\circ})\approx0.6428$.

Step3: Calculate the value of b

$b = 20\times0.6428 = 12.856\approx12.9$.

Answer:

$12.9$ cm