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maths

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A rectangle has sides 170mm and 130mm.What is the angle between the diagonals?

  • maths -

    look at triangle of altitude (13/2) = 6.5 and base (17/2) = 8.5
    x = half of angle between diagonals.
    tan x = 8.5/6.5
    x = 52.6
    2x = big angle between diagonals = 105.3 degrees

    small angle between diagonals = 180 - 105.3 = 74.8 degrees

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