At a place horizontal and vertical components of earth`s magnetic field are as follows
`BH=1G 5^⋅` East of north
BV=1G vertically upward
Then inclination and declination are respectively

Options

A. `45^ circ , 5^circ W`
B. `5^ circ , 45^circ E`
C. `45^ circ , 5^circ E`
D. `5^ circ , 45^circ W`

Answer

To solve the problem, we need to determine the inclination and declination of the Earth's magnetic field based on the given horizontal and vertical components.

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Horizontal component of Earth's magnetic field, \( B_H = 1 \, \text{G} \) (5° East of North)
- Vertical component of Earth's magnetic field, \( B_V = 1 \, \text{G} \) (vertically upward)

2. **Understanding Inclination**:
- The inclination (or angle of dip) \( \theta \) is defined as the angle between the Earth's magnetic field and the horizontal plane. It can be calculated using the formula:
\[ \tan(\theta) = \frac{B_V}{B_H} \]

3. **Substituting the Values**:
- Here, both \( B_H \) and \( B_V \) are equal to 1 G. Therefore:
\[ \tan(\theta) = \frac{1 \, \text{G}}{1 \, \text{G}} = 1 \]

4. **Calculating the Inclination**:
- To find \( \theta \), we take the arctangent:
\[ \theta = \tan^{-1}(1) = 45^\circ \]

5. **Understanding Declination**:
- The declination is defined as the angle between the magnetic north and the true north. According to the problem, it is given as 5° East of North.

6. **Final Answers**:
- The inclination \( \theta \) is \( 45^\circ \).
- The declination is \( 5^\circ \) East.

### Conclusion:
Thus, the inclination and declination are respectively:
- Inclination: \( 45^\circ \)
- Declination: \( 5^\circ \) East