The question is an illustration of arithmetic operations.
The integer that represents the vertical rise is 76
<em>Upward movements are represented with positive, while downward movements are represented with negative.</em>
<em />
So, the given parameters are:
![Up = 100m](https://tex.z-dn.net/?f=Up%20%3D%20100m)
![Down = -72m](https://tex.z-dn.net/?f=Down%20%3D%20-72m)
![Up= 48m](https://tex.z-dn.net/?f=Up%3D%2048m)
The vertical rise is:
![Rise = Up_1 + Down + Up_2](https://tex.z-dn.net/?f=Rise%20%3D%20Up_1%20%2B%20Down%20%2B%20Up_2)
So, we have:
![Rise = 100m -72m +48m](https://tex.z-dn.net/?f=Rise%20%3D%20100m%20-72m%20%2B48m)
![Rise = 76m](https://tex.z-dn.net/?f=Rise%20%3D%2076m)
Hence, the integer that represents the vertical rise is 76
Read more about arithmetic operations at:
brainly.com/question/15385899