Answer:
Fourth option is correct and the distance from the bank to the park is [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
From the given graph it is noticed that the coordinates of Bank and Park are (3,10) and (10,11) respectively.
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance from the bank to the park is
[tex]d=\sqrt{(11-10)^2+(10-3)^2}[/tex]
[tex]d=\sqrt{(1)^2+(7)^2}[/tex]
[tex]d=\sqrt{1+49}[/tex]
[tex]d=\sqrt{50}[/tex]
[tex]d=\sqrt{25\times 2}[/tex]
[tex]d=5\sqrt{2}[/tex]
Therefore the distance from the bank to the park is [tex]5\sqrt{2}[/tex] and option 4 is correct.
