Trigonometry Examples

$(8, 0)$ , $(0, - 7)$

Step 1

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

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

Step 2

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

$\sqrt{{(0 - 8)}^{2} + {((- 7) - 0)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $8$ from $0$ .

$\sqrt{{(- 8)}^{2} + {((- 7) - 0)}^{2}}$

Step 3.2

Raise $- 8$ to the power of $2$ .

$\sqrt{64 + {((- 7) - 0)}^{2}}$

Step 3.3

Subtract $0$ from $- 7$ .

$\sqrt{64 + {(- 7)}^{2}}$

Step 3.4

Raise $- 7$ to the power of $2$ .

$\sqrt{64 + 49}$

Step 3.5

Add $64$ and $49$ .

$\sqrt{113}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{113}$

Decimal Form:

$10.63014581 \dots$

Step 5