What is its ordinate of the point?The abscisa of a point is -3 and its distance from the origin is 5.  

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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We know that we can find the abscisa and the ordinate of a point, drawing perpendiculars from the given point to the x and y axis.

We'll form a right angle triangle, whose hypotenuse is the distance from origin to the point and cathetus is its abscisa.

We'll note the distance as r:

r = 5 units.

r^2 = 25 square units

We'll note the abscisa as x:

x = -3 units

x^2 = 9 square units

We'll calculate y using Pythagorean Theorem:

r^2 = x^2 + y^2

y^2 = r^2 - x^2

y^2 = 25 - 9

y^2 = 16

y1 = 4

y2 = -4

The ordinate of the point could be y = 4 or y  = -4.

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