A man shines a flashlight from a boat into the water, illuminating a rock as in the figure below. What is the angle of incidence 8₁ (in degrees)? 3.62 ml I 02 +2.18 m-

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**Title: Understanding the Angle of Incidence in Refraction**

A man shines a flashlight from a boat into the water, illuminating a rock as depicted in the diagram. The problem asks: What is the angle of incidence \( \theta_1 \) (in degrees)?

**Diagram Explanation:**

- A person in a boat is shining a beam of light from a flashlight into the water.
- The light beam travels from air into water and is refracted toward the bottom where a rock is located.
- The point where the light enters the water marks the boundary between two media: air and water.
- The diagram includes two specific marked angles: 
  - \( \theta_1 \): the angle of incidence (formed between the incident light ray and the normal to the surface).
  - \( \theta_2 \): the angle of refraction within the water.

**Measurements:**

- The vertical distance from the point the light enters the water to the rock is 3.62 meters.
- The horizontal distance from the normal line along the water surface to the rock is 2.18 meters.

**Objective:**

The main goal is to calculate the angle of incidence \( \theta_1 \) using these distances and Snell's Law, which relates the angles of incidence and refraction to the indices of refraction of the two media.
Transcribed Image Text:**Title: Understanding the Angle of Incidence in Refraction** A man shines a flashlight from a boat into the water, illuminating a rock as depicted in the diagram. The problem asks: What is the angle of incidence \( \theta_1 \) (in degrees)? **Diagram Explanation:** - A person in a boat is shining a beam of light from a flashlight into the water. - The light beam travels from air into water and is refracted toward the bottom where a rock is located. - The point where the light enters the water marks the boundary between two media: air and water. - The diagram includes two specific marked angles: - \( \theta_1 \): the angle of incidence (formed between the incident light ray and the normal to the surface). - \( \theta_2 \): the angle of refraction within the water. **Measurements:** - The vertical distance from the point the light enters the water to the rock is 3.62 meters. - The horizontal distance from the normal line along the water surface to the rock is 2.18 meters. **Objective:** The main goal is to calculate the angle of incidence \( \theta_1 \) using these distances and Snell's Law, which relates the angles of incidence and refraction to the indices of refraction of the two media.
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