Answer
11,379 ft
Work Step by Step
See sketch below
Left triangle: 5150 is opposite, $x_{1}$ adjacent to $52^{o}$
$\displaystyle \tan 52^{o}=\frac{5150}{x_{1}}$
$ x_{1}=\displaystyle \frac{5150}{\tan 52^{o}}\approx$4023.62097651$\approx$4024 ft
Right triangle:
$ x_{2}=\displaystyle \frac{5150}{\tan 35^{o}}\approx$7354.96223472$\approx$7355
$ x_{2}+x_{1}\approx$11,379 ft
