That's similar to what's known as a Viewshed, which you can do in Pro with the right license, or in ArcGIS Online.
Note that in Pro, you'll need your own elevation layer for this.
Once you have the output viewshed, you could easily create a wedge feature from the viewpoint to clip/mask the output to only show the angle you're interested in.
- Josh Carlson
Kendall County GIS