You have immense scope.  You can work at isro hal DRDO army, navy, air force, dgca, airlines company, in mro, Boeing, Airbus and many more. But you should very sound at mathematics and, physic . Good luck.

This is one of the trending branch in engineering.
You can check the complete scope in the below link:

Aeronautical Engineering-All about!
Aeronautical engineering is the specialized branch of engineering for the aviation industry. It involves studying, designing, construction and science of the airplanes and other spacecraft. This branch uses the science of propulsion and aerodynamics. In order to be a successful Aeronautics engineer, you must be alert, have an eye for detail and a high level of mathematical precision for success.

The above link shall give you complete scope and career details.
All the best.

An Aeronautical Engineer is crucial in the research, design, development and performance testing of commercial and military airplanes, weapon systems.
The scope of Aerospace Engineering depends on which area you want to specialise in.

Like as follows
    HAL (Mostly Aircraft Structures)
    NAL (Aerodynamics and Materials)
    ISRO- Well ISRO does not have a separate recruitment for Aerospace engineers, you'll have to look into materials, electronics and structures.