Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-4 Angles of Elevation and Depression - Practice and Problem-Solving Exercises - Page 521: 43

Answer

The distance between the two points is $\sqrt {229}$.

Work Step by Step

The distance between two points is given by the following formula: $D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Let's plug in the same points into this formula to find the distance between them: $D = \sqrt {(-15 - 0)^2 + (-2 - 0)^2}$ Simplify what is inside the parentheses: $D = \sqrt {(-15)^2 + (-2)^2}$ Evaluate the exponents: $D = \sqrt {225 + 4}$ Add to simplify: $D = \sqrt {229}$ The distance between the two points is $\sqrt {229}$.
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