Let's walk through the steps to determine the height of each well relative to the starting point at the engineer's van.
1. Starting Point:
- The engineer starts at his van. We will refer to this starting point as height 0 meters.
2. Well 1:
- The engineer walks up 100 meters to reach Well 1.
- So, Well 1 is at:
[tex]\[
0 + 100 = 100 \text{ meters}
\][/tex]
- Therefore, the height of Well 1 from the van is 100 meters.
3. Well 2:
- From Well 1, the engineer climbs down 50 meters to reach Well 2.
- So, Well 2 is at:
[tex]\[
100 - 50 = 50 \text{ meters}
\][/tex]
- Hence, the height of Well 2 from the van is 50 meters.
4. Well 3:
- From Well 2, the engineer climbs up 200 meters to reach Well 3.
- So, Well 3 is at:
[tex]\[
50 + 200 = 250 \text{ meters}
\][/tex]
- Therefore, the height of Well 3 from the van is 250 meters.
5. Well 4:
- From Well 3, the engineer climbs down 280 meters to reach Well 4.
- So, Well 4 is at:
[tex]\[
250 - 280 = -30 \text{ meters}
\][/tex]
- Thus, the height of Well 4 from the van is -30 meters.
In summary, the heights of the wells from the van are:
- Well 1: 100 meters
- Well 2: 50 meters
- Well 3: 250 meters
- Well 4: -30 meters
