Questions: The equation sin(40°) = b/20 can be used to determine the length of line segment AC.

The equation sin(40°) = b/20 can be used to determine the length of line segment AC.
Transcript text: The equation $\sin \left(40^{\circ}\right)=\frac{b}{20}$ can be used to determine the length of line segment $A C$.
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Solution

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Solution Steps

Step 1: Set up the equation

We are given the equation sin(40°) = b/20, where 'b' represents the length of line segment AC.

Step 2: Solve for b

To find the length of b, multiply both sides of the equation by 20: b = 20 * sin(40°)

Step 3: Calculate b

Using a calculator, find the value of sin(40°) which is approximately 0.6428. Then, multiply this value by 20: b = 20 * 0.6428 ≈ 12.86 cm

Final Answer

12.9 cm

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