Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 139

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-Snell's Law states that
$$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } }$$
where $\mathrm { v } _ { 1 } , \mathrm { v } _ { 2 }$ are the speeds at which light travels through two different mediums, and $\theta _ { 1 } , \theta _ { 2 }$ are the angles of incidence and refraction respectively. Find the angle of refraction if $\frac { { } ^ { v _ { 1 } } } { \mathrm { v } _ { 2 } } = 1.7$ and the angle of incidence is $14 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

• A) \(2.72 ^ { \circ }\)
• B) \(8.18 ^ { \circ }\)
• C) \(24.28 ^ { \circ }\)
• D) \(4.08 ^ { \circ }\)

---

Definitions:

Equal Protection Clause

The provision in the Fourteenth Amendment to the U.S. Constitution that guarantees that no state will “deny to any person within its jurisdiction the equal protection of the laws.” This clause mandates that state governments treat similarly situated individuals in a similar manner.

Suspect Trait

A characteristic or feature in a person that may cause them to be viewed with suspicion or as a potential culprit in a criminal investigation.

Compelling Government Interest

A test of constitutionality that requires the government to have compelling reasons for passing any law that restricts fundamental rights, such as free speech, or distinguishes between people based on a suspect trait.

Federal Form

A standardized document required by a federal agency for specific purposes.