Question

Find the distance from the bank to the park. Leave your answer in simplest radical form if necessary.

Answer 1

Answer:

Fourth option is correct and the distance from the bank to the park is $5\sqrt{2}$.

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:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance from the bank to the park is

$d=\sqrt{(11-10)^2+(10-3)^2}$

$d=\sqrt{(1)^2+(7)^2}$

$d=\sqrt{1+49}$

$d=\sqrt{50}$

$d=\sqrt{25\times 2}$

$d=5\sqrt{2}$

Therefore the distance from the bank to the park is $5\sqrt{2}$ and option 4 is correct.

Answer 2

We need to find the distance between (3, 10) and (10, 11), which is √(11-10)²+(10-3)² = √1+49 = √50 = 5√2
The distance between the bank and the park is D. 5√2.
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Hope this helps!