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3 October, 22:47

Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?

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  1. 3 October, 22:52
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    45 angle

    60 angle

    Angle = 90 degrees

    1st triangle = 45, 45, 90

    2nd triangle = 60, 30, 90

    (sin 15) / 100 = (sin 45) / c

    C = 100 sin 45 / sin 15 = 273.2

    273. 2 yards is the height of the balloon.
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