1 Answer

1. 

   Quizzma Team

   2025-02-05T08:25:41-04:00Added an answer on February 5, 2025 at 8:25 am

   To find the distance between Jacob and Sharon, we can use the Pythagorean theorem.

   1. Determine Jacob’s final position:

   – He walked 3 m north and then 4 m west. So, from the starting point (0,0):

   – North (y-axis): (0, 3)

   – West (x-axis): (-4, 3)

   – Jacob’s final position: (-4, 3)

   2. Determine Sharon’s final position:

   – She walked 5 m south and then 12 m east. So from the starting point (0,0):

   – South (y-axis): (0, -5)

   – East (x-axis): (12, -5)

   – Sharon’s final position: (12, -5)

   3. Calculate the distance between their positions using the formula:

   [

   d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}

   ]

   Where ( (x_1, y_1) ) is Jacob’s position (-4, 3) and ( (x_2, y_2) ) is Sharon’s position (12, -5):

   [

   d = sqrt{(12 – (-4))^2 + (-5 – 3)^2}

   ]

   [

   =

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