I tried to use arctan(opposite/adjacent) for the degrees, but cannot get the cor

Question

I tried to use arctan(opposite/adjacent) for the degrees, but cannot get the correct answer. If you could please help me, thank you very much!

Exercise 1 - Reflection and Refraction When a beam of light hits a dielectric, the light is reflected and refracted. The angle of the reflected beam is the same as the angle of the incident beam. The refracted beam follows Snell's law, n1sin1=n2sin2 where n1 and n2 are the indices of refraction and ?1 and ?2 are the angles of incidence and refraction. If the incident beam is in air, n1 = 1.0.

What are the angles of incidence and reflection? (Hint: Use the scales and basic trigonometry to find the angles.)

?1 = ?
?r =?

What is the angle of refraction?
?2 =?

What is the index of refraction of water?
n2=?

2.. inicidentray.-eereleted.ray. -4 6 shitted.ray. -8 -9 10 109 8-7 6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x (cm) Figure 1 - Reflection and refraction from a rectangular container filled with water.

Explanation / Answer

1) theta1 = arctan(2.2/5) = 23.75 degree

thetar = 23.75 degree

2) theta2 = arctan(1.7/5) = 18.75 degree

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

=> n2 = 1.254 Answer

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