## College Algebra 7th Edition

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.