Kapil and his two friends went on a hiking trip. They started from a place 3600 m high. They climbed 3120 m and reached to the top of a hill. Then they walked 300 m on the hill range at the same level. Again they climbed down to a valley 1560 m from the top of the hill range. After walking another 400 m at this level, they climbed up for about 820 m and camped. At what height from the ground did they pitch the camp?

Answer

To find the height at which Kapil and his friends pitched their camp, we need to follow the steps of their journey and calculate the height at each stage. Let's break down the problem step by step.

### Step-by-Step Solution:

1. **Starting Height**:
- Kapil and his friends started from a height of 3600 m above ground level.

2. **Climbing Up**:
- They climbed 3120 m higher.
- New height = Starting height + Climb = 3600 m + 3120 m = 6720 m.

3. **Walking at the Same Level**:
- They walked 300 m on the hill range, but this does not change their height.
- Height remains = 6720 m.

4. **Climbing Down to the Valley**:
- They climbed down to a valley that is 1560 m below the top of the hill range.
- New height = Current height - Descent = 6720 m - 1560 m = 5160 m.

5. **Walking at the Same Level Again**:
- They walked another 400 m, but again, this does not change their height.
- Height remains = 5160 m.

6. **Climbing Up Again**:
- Finally, they climbed up 820 m.
- New height = Current height + Climb = 5160 m + 820 m = 5980 m.

### Final Height:
- Therefore, the height at which they pitched their camp is **5980 m** above ground level.

### Summary of Calculations:
- Starting height: 3600 m
- After climbing: 3600 + 3120 = 6720 m
- After walking (no change): 6720 m
- After descending: 6720 - 1560 = 5160 m
- After walking (no change): 5160 m
- After climbing: 5160 + 820 = 5980 m

### Height from Ground:
- **Final Height = 5980 m**

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