Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 77: 54

Answer

95 feet

Work Step by Step

For this we really just need to get the ratios. Distance from man to tree #1 is 25ft and it's height is 20ft. Now since we are getting our angle from his eye line which is 5 ft up we have to calculate tree #1 as 15ft. $15/25 = 0.6$ So for every 1ft the tree is in distance it is 0.6 ft tall. So we get: $125*0.6 = 90$ Though remember that we calculated from eye level (5ft up) so we have to add on that extra 5ft. $90+5=95$ Thus our answer is 95ft tall.
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