What everyday situations can trigonometry be useful in?
It's like asking "what everyday situations is addition useful in".
To that I’d say: finding the height of something only knowing the length of the base and an angle. Or triangulating your position, surveying your property to make a garden, etc.
This seems like an exaggeration, at least from the point of view of calculus in the classroom, where the prevalence of trigonometric functions reflects only their convenience as examples. Did I misunderstand? Perhaps more apposite is differential equations, where trigonometric functions (or exponentials more generally) are ubiquitous.
For instance calculating the deflection of a structural beam as you load it with weight (a discipline known as statics), depends heavily on trig. Anything involving rotation and angular momentum (such as gears and axles) require knowledge about trig.
Other than that triangulation- computing the distance between points is a useful practical application.