# The body moved from point A (20m; y0) to point B (80m; 60m). The movement module is 72.11m.

The body moved from point A (20m; y0) to point B (80m; 60m). The movement module is 72.11m. Determine the vertical coordinate of point A.

To find the vertical coordinate of point A, from which the body moved, we use the formula (Pythagorean theorem): S2 = (Bx – Ax) ^ 2 + (Vy – Ay) ^ 2, whence Vy – Ay = √ (S ^ 2 – (Bx – Ax) ^ 2) and Ay = Vy – √ (S ^ 2 – (Bx – Ax) ^ 2).

Variable values: coordinates of point B (80 m; 60 m), coordinates of point A (20 m; Ay); S – module of movement (S = 72.11 m).

Calculation: Ay = Vy – √ (S ^ 2 – (Bx – Ax) ^ 2) = 60 – √ (72,112 – (80 – 20) ^ 2) = 20 m.

Answer: The vertical coordinate of point A is 20 m.

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