A jewel thief hides a diamond by placing it on the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above and centered over the diamond, as shown in the figure below. If the surface of the water is calm and the pool is h = 2.36 m deep, find the minimum diameter of the raft that would prevent the diamond from being seen. Ed Raft Diamond

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:**

A jewel thief hides a diamond by placing it on the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above and centered over the diamond, as shown in the figure below. If the surface of the water is calm and the pool is \( h = 2.36 \, \text{m} \) deep, find the minimum diameter of the raft that would prevent the diamond from being seen.

**Diagram Explanation:**

The diagram illustrates a cross-sectional view of a swimming pool. 

- **Swimming Pool**: The pool is filled with water to a depth of \( h \).
- **Diamond**: The diamond is placed at the bottom of the pool.
- **Raft**: A circular raft floats on the water’s surface, centered directly above the diamond.
- **Dimensions**: 
  - The depth of the pool is given as \( h = 2.36 \, \text{m} \).
  - The radius or diameter of the raft is \( d \).

The goal is to determine the minimum diameter \( d \) of the raft necessary to prevent the diamond from being viewed from outside the pool.
Transcribed Image Text:**Problem Description:** A jewel thief hides a diamond by placing it on the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above and centered over the diamond, as shown in the figure below. If the surface of the water is calm and the pool is \( h = 2.36 \, \text{m} \) deep, find the minimum diameter of the raft that would prevent the diamond from being seen. **Diagram Explanation:** The diagram illustrates a cross-sectional view of a swimming pool. - **Swimming Pool**: The pool is filled with water to a depth of \( h \). - **Diamond**: The diamond is placed at the bottom of the pool. - **Raft**: A circular raft floats on the water’s surface, centered directly above the diamond. - **Dimensions**: - The depth of the pool is given as \( h = 2.36 \, \text{m} \). - The radius or diameter of the raft is \( d \). The goal is to determine the minimum diameter \( d \) of the raft necessary to prevent the diamond from being viewed from outside the pool.
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