Moving Position Towards with certain Direction

So the basic one is you could move your sprite towards with its own direction using this block

move () steps

Example 1
SpritePosition: 0:0
SpriteDirection: 90
After MoveToward SpritePosition: 10:0

Example 2
SpritePosition: 0:0
SpriteDirection: 45
After MoveToward SpritePosition: 7:7

But I want a script that moves Position towards with its own Direction.
Just same as the Examples above, but without using Sprites, how about with different Directions?

VariablePosition: 0:0
VariableDirection: 30
After MoveToward VariablePosition: __:__ ?

Too Complicated? Here's actually what I want:

(move position x:() y:() direction:() towards with () steps )

–Returns position

Please help me solve this problem. Thanks!

You can use maths directions which start at angle 0 along the X axis, then turning anticlockwise to 90 up the Y axis, 180 in the negative X direction, 270 in the -Y direction and through to 360 at the X axis again. (This includes all the angles in between from 0 to 360).

Then the formula to move Distance in direction Angle is:

X = X + Distance * cos(Angle)
Y = Y + Distance * sin(Angle)

eg. for Distance = 10 and Angle = 45
X = X + 10 * cos(45)
Y = Y + 10 * sin(45)

Scratch-Minion wrote:

You can use maths directions which start at angle 0 along the X axis, then turning anticlockwise to 90 up the Y axis, 180 in the negative X direction, 270 in the -Y direction and through to 360 at the X axis again. (This includes all the angles in between from 0 to 360).

Then the formula to move Distance in direction Angle is:

X = X + Distance * cos(Angle)
Y = Y + Distance * sin(Angle)

eg. for Distance = 10 and Angle = 45
X = X + 10 * cos(45)
Y = Y + 10 * sin(45)

Actually, Cos is for Y-Axis and Sin is for X-Axis.
So my script is going to be like this:

define Move position X:(XPosition)Y:(YPosition)direction:(Angle)towards with(Steps) steps
set [XPositionResult] to (((XPosition) + (Steps)) * ([sin] of (Angle)))
set [YPositionResult] to (((YPosition) + (Steps)) * ([cos] of (Angle)))

when green flag clicked
Move position X:(0)Y:(0)direction:(90)towards with(10) steps
say (join [Position 0:0 after move toward at direction 90 is ] (join (round (XPositionResult)) (join [:] (round (YPositionResult))))) 
wait (5) secs
Move position X:(0)Y:(0)direction:(45)towards with(10) steps
say (join [Position 0:0 after move toward at direction 45 is ] (join (round (XPositionResult)) (join [:] (round (YPositionResult))))) 
wait (5) secs
Move position X:(0)Y:(0)direction:(30)towards with(10) steps
say (join [Position 0:0 after move toward at direction 30 is ] (join (round (XPositionResult)) (join [:] (round (YPositionResult))))) 
wait (5) secs
Move position X:(0)Y:(0)direction:(0)towards with(10) steps
say (join [Position 0:0 after move toward at direction 0 is ] (join (round (XPositionResult)) (join [:] (round (YPositionResult))))) 
wait (5) secs
Move position X:(0)Y:(0)direction:(180)towards with(10) steps
say (join [Position 0:0 after move toward at direction 180 is ] (join (round (XPositionResult)) (join [:] (round (YPositionResult))))) 
wait (5) secs
say [Thanks to Scratch-Minion for the Explanation!]

It works! Thank you so much!