At what height the acceleration due to gravity decreases by 36% of its value on the surface of the earth ?

Explanation

To solve the problem of finding the height at which the acceleration due to gravity decreases by 36% of its value on the surface of the Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the height \( h \) where the acceleration due to gravity \( g_h \) is 64% of the acceleration due to gravity on the surface \( g \). This is because a decrease of 36% means that 100% - 36% = 64% remains.

2. **Use the Formula for Gravity at Height**: The formula for acceleration due to gravity at a height \( h \) above the Earth's surface is given by:
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