the equation sin(40°) = \\frac{b}{20} can be used to determine the length of line segment ac. what is the…
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
Answer
Answer:
12.9 cm
Explanation:
Step1: Isolate the variable b.
Given $\sin(40^{\circ})=\frac{b}{20}$, multiply both sides by 20: $b = 20\times\sin(40^{\circ})$.
Step2: Calculate the value of $\sin(40^{\circ})$.
Using a calculator, $\sin(40^{\circ})\approx0.6428$.
Step3: Find the value of b.
$b = 20\times0.6428=12.856\approx12.9$ cm.