Chapter 10 - Radical Expressions and Equations - 10-6 Trigonometric Ratios - Practice and Problem-Solving Exercises - Page 639: 45

550 feet

Work Step by Step

$y =$ height of building, $x =$distance from building after moving 400 feet closer $tan (45) = y/x$ $1 = y/x$ $x=y$ $tan (30) = y/(400+y)$ $.5773 = y/(400+y)$ $.5773*(400+y) = y/(400+y)*(400+y)$ $230.92+.5773y = y$ $230.92+.5773y-.5773y = y-.5773y$ $230.92 = .4227y$ $230.92/.4227 = .4227y/.4227$ $546.3 = y$

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