How to determine a point on the map, located at a certain distance and with a certain angle of rotation?

Question

Geometry

There are coordinates of the point (for example, the current location, O), after which you need to find a point that will be located at a distance d from O and at some angle in degrees. All you need is a math formula

Answer 1

φ2 = asin( sin φ1 ⋅ cos δ + cos φ1 ⋅ sin δ ⋅ cos θ )
λ2 = λ1 + atan2( sin θ ⋅ sin δ ⋅ cos φ1, cos δ − sin φ1 ⋅ sin φ2 )
where: θ is the angle in radians , φ1 - latitude, λ1 - longitude, d - distance, δ - d/Rland