Here's measuring approach, breakover, and departure angles. Not completely scientific, but this method should provide angles within a few degrees of real measurements.
View attachment 3777607
A solid profile shot taken from further back (maybe using a 2x zoom) will provide a better perspective for measuring. On Android, I'm using Angle Meter 360 to get angle overlays. Looks like the app is available on iPhones too.
I'm pulling angles across both tires so I have a better horizon reference in case there is any tilt in the picture. Using basic geometry to arrive at angles. For example, this would be 180° - 138° = ~42° approach.
View attachment 3777583
Breakover would be 180° - 141° = ~39°
View attachment 3777600
Departure is 180° - 141° = ~39°
View attachment 3777598
This is an '09 LX570 on a 1.5" sensor lift, AHC high 3" suspension lift, .75" body lift (that lifts bumpers), and 37x12.5R18 tires to get approach, breakover, and departure angles of approximately 42°, 39°, and 39°.
As a reference, here's stock angles discussed in this other thread. I've seen it suggested that a good off-roader will have angles in the 30 range. A strong off-roader should be in the mid-high 30s. For reference, a Bronco Raptor has angles of 47.2°, 30.8°, and 40.5° respectively.
Definitive guide to LC and LX approach, breakover, and other angles. There's some variation between model years. Here's my attempt to document these details as a reference. Please correct me if you find a source that helps clarifies any of these numbers.
forum.ih8mud.com
View attachment 3777577