https://r2.erweima.ai/mathbot/image/1724693317497ckk233id.jpg

prepare uma planilha para o nivelamento geométrico composto com caminhamento simples e calcule a altitude do ponto C 

To help you with this task, I will first interpret the content of the image and then guide you through creating a spreadsheet for the geometric leveling and calculating the altitude of point C.

### Interpretation of the Image:

1. **Diagram Interpretation**:
   - The diagram appears to show three points, A, B, and C, with respective distances and elevation differences between them. It seems to be a simple leveling procedure used in surveying.

   - **Distances**:
     - From A to B: \(4.375 \, \text{m}\)
     - From B to C: \(5.26 \, \text{m}\)

   - **Readings**:
     - Back sight at A (toward the instrument): \(0.875 \, \text{m}\)
     - Foresight at B: \(1.025 \, \text{m}\)
     - Back sight at B (toward the instrument): \(1.225 \, \text{m}\)
     - Foresight at C: \(2.254 \, \text{m}\)

   - **Altitude of Reference Point (RAIB)**: \(645.185 \, \text{m}\) (This is likely the known elevation at point A.)

2. **Objective**: 
   - You need to create a spreadsheet to calculate the elevation (altitude) of point C.

### Steps for Calculation:

1. **Leveling Calculation Formula**:
   - **Change in Elevation** (\(\Delta h\)) between two points can be calculated as:
     \[
     \Delta h = \text{Back Sight (BS)} - \text{Fore Sight (FS)}
     \]

2. **Calculations**:
   - **Elevation at Point B**:
     \[
     \text{Elevation at B} = \text{Elevation at A} + (\text{BS at A to B} - \text{FS at A to B})
     \]
     Substituting values:
     \[
     \text{Elevation at B} = 645.185 \, \text{m} + (0.875 \, \text{m} - 1.025 \, \text{m}) = 645.035 \, \text{m}
     \]
     
   - **Elevation at Point C**:
     \[
     \text{Elevation at C} = \text{Elevation at B} + (\text{BS at B to C} - \text{FS at B to C})
     \]
     Substituting values:
     \[
     \text{Elevation at C} = 645.035 \, \text{m} + (1.225 \, \text{m} - 2.254 \, \text{m}) = 644.006 \, \text{m}
     \]

### Spreadsheet Structure:

| **Point** | **BS (Back Sight)** | **FS (Fore Sight)** | **Elevation Calculation**        | **Elevation (m)** |
|-----------|---------------------|---------------------|----------------------------------|-------------------|
| A         | 0.875               | 1.025               | \(645.185 + (0.875 - 1.025)\)    | 645.035           |
| B         | 1.225               | 2.254               | \(645.035 + (1.225 - 2.254)\)    | 644.006           |
| C         | -                   | -                   |                                  | 644.006           |

The final elevation at point C is **644.006 m**.

Would you like further details, such as step-by-step instructions to create the spreadsheet or an explanation of the concepts? 

### Related Questions:
1. How does geometric leveling differ from trigonometric leveling?
2. What are common sources of error in leveling surveys, and how can they be minimized?
3. What software tools can be used for automatic leveling calculations in large-scale projects?
4. How would the process change if point C was on a higher terrain than point A?
5. What are the implications of incorrect leveling on construction projects?

**Tip**: When performing leveling in the field, always double-check your instrument setup and readings to avoid cumulative errors.

Learn how to prepare a spreadsheet for geometric leveling with simple traverse and calculate the altitude of point C. This guide covers interpreting surveying diagrams, calculating elevation changes, and creating a structured spreadsheet for accurate calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation