Question
A positive altitude gives a distance above sea level. A negative altitude gives a distance below se (a) Find the absolute value of the altitude for each checkpoint. Checkpoint \( \mathrm{A}:|25|=\square \) Checkpoint B: \( |-30|=\square \) (b) Which checkpoint is closer to sea level? Checkpoint A Checkpoint B Neither is closer to sea level.
Ask by Bright Chen. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Checkpoint A: \( |25| = 25 \)
Checkpoint B: \( |-30| = 30 \)
Checkpoint A is closer to sea level.
Solution
1. For checkpoint A, the altitude is \(25\). Its absolute value is:
\[
|25| = 25
\]
2. For checkpoint B, the altitude is \(-30\). Its absolute value is:
\[
|-30| = 30
\]
3. Since \(25 < 30\), checkpoint A is closer to sea level.
Thus, the answers are:
- Checkpoint A: \( |25| = 25 \)
- Checkpoint B: \( |-30| = 30 \)
- Checkpoint A is closer to sea level.
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Simplify this solution Bonus Knowledge
The absolute value of an altitude is simply the distance from sea level, regardless of whether it's above or below. So for Checkpoint A, the absolute value is \( |25| = 25 \), meaning it’s 25 units above sea level. For Checkpoint B, \( |-30| = 30 \), indicating it’s 30 units below sea level. Now, if we're comparing distances from sea level, Checkpoint A, at 25 units above sea level, is closer to sea level than Checkpoint B, which is 30 units below it. So the answer is Checkpoint A!
