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28 March, 17:18

A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.

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  1. 28 March, 17:26
    0
    11.820 ft

    Step-by-step explanation:

    The mnemonic SOH CAH TOA reminds you that ...

    Sin = Opposite/Hypotenuse

    The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

    sin (52°) = height / (15 ft)

    Multiplying by the denominator gives you ...

    height = (15 ft) ·sin (52°) ≈ 11.820 ft

    ___

    You may need to round this number appropriately.
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