Find the Distance Between Two Points P_1=(5,310 degrees ) , P_2=(6,345 degrees )

$P_{1} = (5, 310 °)$ , $P_{2} = (6, 345 °)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(6 - 5)}^{2} + {(345 ° - 310 °)}^{2}}$

Simplify.

Subtract $5$ from $6$ .

$\sqrt{1^{2} + {(345 ° - 310 °)}^{2}}$

One to any power is one.

$\sqrt{1 + {(345 ° - 310 °)}^{2}}$

Subtract $310 °$ from $345 °$ .

$\sqrt{1 + 35^{2}}$

Raise $35$ to the power of $2$ .

$\sqrt{1 + 1225}$

Add $1$ and $1225$ .

$\sqrt{1226}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1226}$

Decimal Form:

$35.01428280 \dots$