Question
A sunken ship is resting at 3,000 feet below sea level. Directly above the ship,
a whale is swimming 1,960 feet below sea level. Directly above the ship and the
whale is a plane flying at 8,500 feet above sea level.Select the true statement.(1pt)
7.NS.A.1b, 7.NS.A.1c
a. The distance between the heights of the whale and the plane is -10,460
feet.
b. The difference in height between the whale and the plane is 10,460
feet.
c. The difference in height between the whale and the ship is -1,040 feet.
d. The distance between the heights of the whale and the ship is 1,040
feet.
a whale is swimming 1,960 feet below sea level. Directly above the ship and the
whale is a plane flying at 8,500 feet above sea level.Select the true statement.(1pt)
7.NS.A.1b, 7.NS.A.1c
a. The distance between the heights of the whale and the plane is -10,460
feet.
b. The difference in height between the whale and the plane is 10,460
feet.
c. The difference in height between the whale and the ship is -1,040 feet.
d. The distance between the heights of the whale and the ship is 1,040
feet.
Answers
GPT-4o mini
To solve the problem, we first need to establish the heights of the whale, ship, and plane relative to sea level.
- The ship is at **3,000 feet below sea level**: This can be expressed as -3,000 feet.
- The whale is at **1,960 feet below sea level**: This can be expressed as -1,960 feet.
- The plane is at **8,500 feet above sea level**: This can be expressed as +8,500 feet.
Next, we can evaluate the options provided.
1. **Distance between the heights of the whale and the plane**:
- Whale = -1,960 feet
- Plane = +8,500 feet
- Difference = Plane - Whale = 8,500 - (-1,960) = 8,500 + 1,960 = 10,460 feet
- The statement is false since it should be positive.
2. **Difference in height between the whale and the plane**: The difference has already been calculated above, and it is indeed 10,460 feet.
- This statement is true.
3. **Difference in height between the whale and the ship**:
- Whale = -1,960 feet
- Ship = -3,000 feet
- Difference = Whale - Ship = -1,960 - (-3,000) = -1,960 + 3,000 = 1,040 feet
- The statement is false since it should not be negative.
4. **Distance between the heights of the whale and the ship**:
- The distance between the whale's and ship's heights is the absolute difference: | -1,960 - (-3,000) | = | 1,040 | = 1,040 feet.
- This statement is true.
Based on this analysis, options **b and d** are true statements, while options **a and c** are false.
However, the questions allow us to select only one true statement, which is:
### b. The difference in height between the whale and the plane is 10,460 feet.
- The ship is at **3,000 feet below sea level**: This can be expressed as -3,000 feet.
- The whale is at **1,960 feet below sea level**: This can be expressed as -1,960 feet.
- The plane is at **8,500 feet above sea level**: This can be expressed as +8,500 feet.
Next, we can evaluate the options provided.
1. **Distance between the heights of the whale and the plane**:
- Whale = -1,960 feet
- Plane = +8,500 feet
- Difference = Plane - Whale = 8,500 - (-1,960) = 8,500 + 1,960 = 10,460 feet
- The statement is false since it should be positive.
2. **Difference in height between the whale and the plane**: The difference has already been calculated above, and it is indeed 10,460 feet.
- This statement is true.
3. **Difference in height between the whale and the ship**:
- Whale = -1,960 feet
- Ship = -3,000 feet
- Difference = Whale - Ship = -1,960 - (-3,000) = -1,960 + 3,000 = 1,040 feet
- The statement is false since it should not be negative.
4. **Distance between the heights of the whale and the ship**:
- The distance between the whale's and ship's heights is the absolute difference: | -1,960 - (-3,000) | = | 1,040 | = 1,040 feet.
- This statement is true.
Based on this analysis, options **b and d** are true statements, while options **a and c** are false.
However, the questions allow us to select only one true statement, which is:
### b. The difference in height between the whale and the plane is 10,460 feet.