Answer :
Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:
- The location point of the Ferris wheel is (15,24).
- They need to walk 20 units.
- The coordinates of the hotdog stand are (23,8).
- Water ride is at point (3,8).
- Roller coaster is at point (27,40).
- The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the mean of their coordinates.
[tex]x = \frac{3 + 27}{2} = 15[/tex]
[tex]y = \frac{8 + 40}{2} = 24[/tex]
The location point of the Ferris wheel is (15,24).
The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:
[tex]D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20[/tex]
They need to walk 20 units.
- Hotdog stand is directly east of the water ride, thus, it has the same y-coordinate, while the x-coordinate is increased.
- The distance is of 20 units, thus:
[tex](3 + 20, 8) = (23,8)[/tex]
The coordinates of the hotdog stand are (23,8).
A similar problem is given at https://brainly.com/question/24352869