Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = π/4 - β/2
α = π/4 - β/2
α = β/2 - π/2

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Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Arithmetical sum of the resolved parts of the forces in the direction
Sum of the forces multiplied by the tangent θ°
Difference of the forces multiplied by cosine θ°
Algebraic sum of the resolved parts of the forces in the direction

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