To solve for the value of r, we need to use the inverse sine function or arcsine. The equation is as follows:
arcsin(0.5773) = r


To find the value of r, we need to use a scientific calculator. Here's how to do it:
- Enter 0.5773
- Press the inverse sine button (usually labeled as "sin^-1" or "arcsin")
- The result is the value of r in radians


The answer we get from the calculator is in radians. To convert it to degrees, we can use the formula:
radians x (180/π) = degrees

We can round the answer to the nearest hundredth to make it more manageable.


The final answer is the value of r in degrees. We can write it as follows:
r = arcsin(0.5773) ≈ 35.08°

Note: Always check your answer by plugging it back into the original equation to make sure it works.