Water Polo 16 C(24, 14) 12 B(18, 7) A(8,4) 0. 4. 8. 12 16 28 x Distance (m) The diagram shows the positions of three players during part of a water polo match. Player A throws the ball to Player B, who then throws it to Player C. 18) How far did Player A throw the ball? 19) How far did Player B throw the ball? 20) How far would Player A have thrown the ball if he had thrown it directly to Player C? (Round all answers to the nearest tenth of a meter.) 24 20 Distance (m)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Water Polo Player Positions and Distances**

The diagram illustrates the positions of three players during a segment of a water polo game. Player A passes the ball to Player B, who then passes it to Player C.

**Explanation of the Diagram:**
1. **Axes:** 
   - The x-axis represents the horizontal distance in meters ranging from 0 to 28 meters.
   - The y-axis represents the vertical distance in meters ranging from 0 to 16 meters.

2. **Player Positions:**
   - Player A is positioned at (8, 4), marked as 'A'.
   - Player B is positioned at (18, 7), marked as 'B'.
   - Player C is positioned at (24, 14), marked as 'C'.

**Questions for Analysis:**
1. **Distance Calculation from A to B:**
   - Find the distance Player A threw the ball to Player B.

2. **Distance Calculation from B to C:**
   - Find the distance Player B threw the ball to Player C.

3. **Direct Distance from A to C:**
   - Calculate how far Player A would have thrown the ball if it was passed directly to Player C (round to the nearest tenth of a meter).

**Steps to Calculate Distances:**
- Use the distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) to determine the distances between the players.

**Important Note:**
- Ensure to round all answers to the nearest tenth of a meter for accuracy.
Transcribed Image Text:**Water Polo Player Positions and Distances** The diagram illustrates the positions of three players during a segment of a water polo game. Player A passes the ball to Player B, who then passes it to Player C. **Explanation of the Diagram:** 1. **Axes:** - The x-axis represents the horizontal distance in meters ranging from 0 to 28 meters. - The y-axis represents the vertical distance in meters ranging from 0 to 16 meters. 2. **Player Positions:** - Player A is positioned at (8, 4), marked as 'A'. - Player B is positioned at (18, 7), marked as 'B'. - Player C is positioned at (24, 14), marked as 'C'. **Questions for Analysis:** 1. **Distance Calculation from A to B:** - Find the distance Player A threw the ball to Player B. 2. **Distance Calculation from B to C:** - Find the distance Player B threw the ball to Player C. 3. **Direct Distance from A to C:** - Calculate how far Player A would have thrown the ball if it was passed directly to Player C (round to the nearest tenth of a meter). **Steps to Calculate Distances:** - Use the distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) to determine the distances between the players. **Important Note:** - Ensure to round all answers to the nearest tenth of a meter for accuracy.
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