College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.9 - Modeling with Equations - P.9 Exercises: 45

Answer

5 m

Work Step by Step

We know that the ratios between the sides of the two similar triangles will be the same (since the angles are equal). Using the image given, we have: $\displaystyle \frac{10+x}{6}=\frac{x}{2}$ We cross multiply to solve for $x$: $20+2x=6x$ $4x=20$ $x=5$ So we know that the man's shadow is 5 m long.
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