The approximate distance from y to y’ in the given triangle x y z reflected over its hypotenuse to form kite x y z y is 9.2 units.
Value of angle X
The value of angle X in ΔXYZ is calculated as follows;
tanx = 12/5
tanx = 2.4
x = tan⁻¹(.24)
x = 67.38⁰
Vertical height
The height from vertex Y to horizontal line XZ is calculated as follows;
sinx = h/5
h = 5(sinx)
h = 5(sin67.38)
h = 4.62
Distance between Y and Y'
YY' = 4.62 + 4.62 = 9.24 units
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