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Home/ Questions/Q 1005151
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Editorial Team
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Editorial Team
Asked: May 16, 20262026-05-16T08:14:54+00:00 2026-05-16T08:14:54+00:00

Given: (x1,y1) = (0,0) (x2,y2) = (0,-10) Using the angle to C, how are

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Given:

(x1,y1) = (0,0)

(x2,y2) = (0,-10)

Using the angle to C, how are the coordinates at C calculated?

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  1. Editorial Team
    Editorial Team
    2026-05-16T08:14:56+00:00Added an answer on May 16, 2026 at 8:14 am

    Let A be the point (x1,y1) and B be the point (x2,y2).

    AC must have length 10 since it is isosceles.

    Let X the point on AB which a perpendicular line passes through C. AXC is a right angled triangle with hypotenuse AC. C has co-ordinates (-length(AX),length(XC)).

    length(AX) = length(AC)*cos(theta) = 10*cos(theta)
    
    length(XC) = length(AC)*sin(theta) = 10*sin(theta)
    

    Therefore C has co-ordinates: (-10*cos(theta),10*sin(theta))

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