Question

The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest tenth._____cm

Answer 1

Answer:

12.9 centimeters

Step-by-step explanation:

The given equation is

$sin(40\°)=\frac{b}{20}$

Where $b$ represents the length of the segment AC, according to the given graph.

To find $b$ we just need to isolate it in the given equation,

$b=20sin(40\°)$

Then, we know that $sin(40\°) \approx 0.64$, so

$b=20(0.64)=12.9cm$

Therefore, the length of segment AC is 12.9 centimeters, rounded to the nearest tenth.

Answer 2

For this case we have the following equation:
 sine (40) = b / 20
 From here, we must clear the value of b.
 Clearing we have:
 b = 20 * sine (40)
 b = 12.85575219
 Rounding to the nearest tenth we have:
 b = 12.86 cm
 Answer:
 b = 12.86 cm