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 - 8-5 Law of Sines - Practice and Problem-Solving Exercises - Page 525: 13


You would be walking $259.4$ yd.

Work Step by Step

We can use the law of sines to relate the two angles and their opposite sides to one another: $\frac{sin 54^{\circ}}{210} = \frac{sin 88^{\circ}}{x}$ Multiply each side by $x$: $\frac{sin 54^{\circ}}{210}(x)$ = sin $88^{\circ}$ Divide each side of the equation by $\frac{sin 54^{\circ}}{210}$ to solve for $x$: $x \approx 259.4$ yd. You would be walking $259.4$ yd.
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