Topo Maps+ has a few ways to measure distance on a map.
1. Distance Rings
Distance rings let you see distances from the center of the map.
2. Tracing Routes
You can trace out a route to see how far that route is. In this example the route from the campsite at Image Lake to the lookout is approximately 1.19 miles. This article goes into depth on how to trace routes.
3. Map Scale
You can choose to always have the map scale turned on.