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 - Page 71: 46


95 feet

Work Step by Step

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.