## College Algebra 7th Edition

Let's say that $x$ is the height of the tall tree. We can find two similar triangles by starting at the eye level of the woodcutter. We set up a ratio between the large triangle and the small triangle: $\frac{x-5}{25+125}=\frac{20-5}{25}$ We cross multiply to solve for $x$: $(x-5)*25=(20-5)*(25+125)$ $25*x-125=15*150$ $25*x-125=2250$ $25*x=2375$ $x=95$ Thus the height of the tall tree is 95 feet.