Please explain to me where the six comes from? I don\'t know where the (6.00 cm)

Question

Please explain to me where the six comes from? I don't know where the (6.00 cm) comes from.

GOAL Calculate the consequences of dispersion. PROBLEM A beam of light is incident on a prism of a certain glass at an angle of theta 1 = 30.0 degree, as shown in Figure 22.18. If the index of refraction of the glass for violet light is 1.80, find (a) theta 2, the angle of refraction at the Air-glass interface, (b) phi 2, the angle of incidence at the glass-air interface, and (C) phi 1, the angle of refraction when the violet light exits the prism. (d) What is the value of delta y, the amount by which the violet light is displaced vertically? STRATEGY This problem requires Snell's law to find the refraction angles and some elementary geometry and trigonometry based on Figure 22.18. SOLUTION (a) Find theta 2, the angle of refraction at the air-glass interface. Use Snell's law to find the first angle of refraction: (b) Find phi 2, the angle of incidence at the glass-air interface. Compute the angle beta: Compute the angle a using the fact that the sum of the interior angles of a triangle equals 180 degree: The incident angle phi 2 at the glass-air interface is complementary to alpha: (c) Find phi 1, the angle of refraction when the violet light exits the prism. Apply Snell's law: (d) What is the value of delta y, the amount by which the violet light is displaced vertically? Use the tangent function to find the vertical displacement: Please explain to me where the six comes from? I don't know where the (6.00 cm) comes from.

Explanation / Answer

delta x is the amount of distance the voilet light displaced inside the prism horizontally...which is given as 6 cm in the above diagram......here we calculated the vertical displaced distance i.e delta y

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