Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?

To determine the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool, we need to add the distance he traveled downward from the diving board to the surface of the pool, and then the distance he traveled further down to reach his lowest point beneath the surface.

1. Distance from the diving board to the surface of the pool: \(5 \text{ feet}\)
2. Distance from the surface of the pool to his lowest point: \(7 \text{ feet}\)

Total distance traveled:
\[
5 \text{ feet} + 7 \text{ feet} = 12 \text{ feet}
\]

Thus, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool is \(12 \text{ feet}\).

Would you like more details or have any questions? 

Here are 5 numbered questions for you to ask next:

1. How do you solve equations involving both positive and negative numbers?
2. Can you explain the concept of absolute value?
3. How do you determine the distance between two points on a coordinate plane?
4. What are some common diving board heights used in competitions?
5. How do you calculate the displacement if Duncan swam horizontally after diving?

**Tip:** Always ensure to separate the vertical and horizontal components when calculating distances involving different directions.

Learn how to calculate Duncan's total distance from the diving board to his lowest point beneath the pool surface. Understand the concepts of distance and displacement in geometry with a detailed step-by-step solution. Suitable for Grades 6-8.

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