Starting from one oasis, Thaïs and Athanaël walk 25 km in a direction 30° south of west and then walk 30 km toward the north to a second oas

Question

Starting from one oasis, Thaïs and Athanaël walk 25 km in a direction 30° south of west and then walk 30 km toward the north to a second oasis. What is the direction from the first oasis to the second oasis?

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Edana Edana 4 years 2021-08-10T13:17:45+00:00 2 Answers 25 views 0

Answers ( )

  1. lethu
    0
    2021-08-10T13:19:18+00:00
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    Answer:

    The definition of an oasis is a fertile place where there is water in the midst of a desert or a place of calm in the midst of chaos. An example of an oasis is an underground spring in a desert. An example of an oasis is a calm and peaceful room in the midst of a chaotic house.

    Explanation:

  2. Nick
    0
    2021-08-10T13:19:39+00:00
    Reply

    Answer:

    = 51° West of North

    Explanation:

    The displacement along the horizontal direction

    R_x = -(25km)cos 30^\circ i\\\\= -(21.65km)i

    The displacement along the vertical direction

    R_y = -(25km) sin210^\circ i + (30km)j\\\\= -(12.5km)j + (30km)j\\\\= (17.5km)j

    The magnitude of the displacement is

    R = \sqrt{(-21.65km)^2 + (17.5km)^2} \\

    The direction is

    \theta = tan^-^1(\frac{17.5km}{-21.65km} )\\\\= -38.9^\circ\\\\

    = 51° West of North

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