For a body to escape from earth, angle from horizontal at which it should be fired is

Options

A. `45^(@)`
B. `0^(@)`
C. `90^(@)`
D. any angle

Answer

To determine the angle from the horizontal at which a body should be fired to escape from the Earth, we need to understand the concept of escape velocity and its independence from the angle of projection.

### Step-by-Step Solution:

1. **Understanding Escape Velocity**:
The escape velocity is the minimum velocity required for an object to break free from the gravitational pull of a celestial body without any further propulsion. For Earth, the escape velocity \( v_e \) is given by the formula:
\[ v_e = \sqrt{\frac{2GM}{R}} \]
where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( R \) is the radius of the Earth.

2. **Independence from Angle**:
The key point to note is that the escape velocity does not depend on the angle at which the body is launched. This means that regardless of whether the body is fired straight up (90 degrees), horizontally (0 degrees), or at any angle in between, as long as it reaches the escape velocity, it will escape Earth's gravitational influence.

3. **Conclusion**:
Since the escape velocity is independent of the launch angle, we can conclude that the body can be fired at any angle to achieve escape from Earth. Therefore, the answer to the question is:
\[ \text{Any angle} \]

### Final Answer:
The angle from the horizontal at which a body should be fired to escape from Earth is **any angle**.