Answer
$k=14$
Work Step by Step
As the triangles are similar, sides corresponding to angles having equal measures are proportional.
$\implies \frac{6}{k}=\frac{9}{9+12}=\frac{9}{21}$
$\implies k=\frac{6\times21}{9}=14$
Trigonometry (11th Edition) Clone
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
978-0-13-421743-7
ISBN 13:
978-0-13421-743-7
Chapter 1 - Review Exercises - Page 43: 21
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