Answer:
38units
Step-by-step explanation:
The formula for calculating the distance between two coordinates is expressed as;
![D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/ak1qelegvclwyfd7a2zhaqxzfglhsosdsg.png)
From the given coordinate;
x1 = 5,
y1 = -4
x2 = 5
y2 = 34
Substitute the values into the formula;
![\begin{gathered} D=\sqrt[]{(5-5_{})^2+(34_{}-(-4)_{})^2} \\ D\text{ = }\sqrt[]{(34+4)^2} \\ D=\sqrt[]{(38)^2} \\ D\text{ =38units} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xg4ivmw3e6n97i2iz3djaq6zn3foeugxw9.png)
Hence the distance between the coordinates is 38units