Answer
345 ft
Work Step by Step
The length of the string is the hypotenuse,
the height of the kite (x) is the leg opposite to $50^{o}.$
$\displaystyle \sin 50^{o}=\frac{x}{450}$
$ x=450\sin 50^{o}\approx$344.719999404$\approx$ 345 ft
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 6 - Section 6.2 - Trigonometry of Right Triangles - 6.2 Exercises - Page 489: 59
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