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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?

Respuesta :

Olajidey

Answer:

= 51° West of North

Explanation:

The displacement along the horizontal direction

[tex]R_x = -(25km)cos 30^\circ i\\\\= -(21.65km)i[/tex]

The displacement along the vertical direction

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

The magnitude of the displacement is

[tex]R = \sqrt{(-21.65km)^2 + (17.5km)^2} \\[/tex]

The direction is

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

= 51° West of North

reyesamya

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:

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