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25 January, 07:04

What are the lengths of a right triangle in which one acute angle measures 19 degrees and the hypotnuse is 15 units long

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  1. 25 January, 10:02
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    4.884 units, 14.183 units

    Step-by-step explanation:

    The mnemonic SOH CAH TOA reminds you of the relationships between sides and hypotenuse:

    ... Sin = Opposite/Hypotenuse

    ... Cos = Adjacent/Hypotenuse

    Then the Opposite and Adjacent sides can be found by multiplying the sine and cosine of the angle by the length of the hypotenuse.

    ... short side = 15 · sin (19°) ≈ 4.884 units

    ... long side = 15 · cos (19°) ≈ 14.183 units
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