I, for the life of me, cannot figure out this equation:

The index of refraction for a particular type of glass is 1.52 and the index of refraction for air is approximately 1.00. A ray of light at a particular frequency enters a block of glass from air with an angle of incidence of 70 degrees. What is the angle of refraction O^r?

Please walk me through your steps so I can really see how you worked through this one-I've been working on it for about two days now...
thanks

Sure, I can help you with that! To solve this problem, we can use Snell's law, which relates the angles of incidence and refraction for light passing through different media. Snell's law is given by:

n1 * sin(theta1) = n2 * sin(theta2)

where:
- n1 is the index of refraction of the first medium (air),
- theta1 is the angle of incidence,
- n2 is the index of refraction of the second medium (glass), and
- theta2 is the angle of refraction.

In this case, we're given that n1 (for air) is approximately 1.00, theta1 is 70 degrees, and n2 (for glass) is 1.52. We need to solve for theta2, the angle of refraction.

Step 1: Convert the angle to radians
To use the trigonometric functions, we need to convert the angles from degrees to radians. The conversion factor is π/180. So, theta1 in radians can be calculated as:

theta1 (in radians) = theta1 (in degrees) * (π/180)

Step 2: Apply Snell's law
Substitute the given values into Snell's law:

n1 * sin(theta1) = n2 * sin(theta2)

(1.00) * sin(theta1) = (1.52) * sin(theta2)

Step 3: Solve for theta2
Rearrange the equation to solve for theta2:

sin(theta2) = (n1/n2) * sin(theta1)

theta2 = arcsin((n1/n2) * sin(theta1))

Step 4: Substitute the values and calculate
Substitute the given values, solve for theta2, and calculate the numerical value:

theta2 = arcsin((1.00/1.52) * sin(theta1))

Finally, plug in theta1 (in radians) and evaluate the expression for theta2 using a calculator to get the angle of refraction.

I hope this step-by-step explanation helps! Let me know if you have any further questions.