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2 November, 18:47

Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction of 200° towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?

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  1. 2 November, 19:16
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    Answer: 29.8ft

    Step-by-step explanation:

    suppose that the angles are measured from an x-axis.

    we know that:

    Lila and Avery are 20 feet apart.

    Mark and Avery are 30 feet apart.

    If we locate the position of Lila in the (0, 0)

    and we use the relation:

    x = r*cos (θ) and y = r*cos (θ)

    Then the position of Avery is:

    P = (20ft*cos (90°), 20ft*sin (90°)) = (0, 20ft)

    and the position of mark will be:

    P = (0 + 30ft*cos (200°), 20ft + 30ft*sin (300)) = (-28.2ft, 9.7ft)

    And because Lila is at the origin, the distance between Mark and Lila is equal to the module of that vector,

    Distance = √ ((28.2ft) ^2 + (9.7ft) ^2) = 29.8ft
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