I forgot to put the speed in there but as you know it's 200 ft/sec.
Let's find \(\displaystyle AC\) using Law of Cosines:\(\displaystyle \L \;\frac{Sin\,84}{AC}\,=\,\frac{Sin\,6}{8,000}\)
\(\displaystyle \L \;\frac{.9945}{AC}\,=\,\frac{.1045}{8,000}\)
...\(\displaystyle \L \;AC\,\approx\,75916\,ft.\)
Now let's use Pythagorean Theorem :\(\displaystyle \L \;75916^2\,+\,8000^2\,=\,AB^2\)
\(\displaystyle \L \;AB\,\approx\,76336.4\,ft.\)
Now we can use the basic \(\displaystyle d\,=\,rt\):\(\displaystyle \L \;76336.4\,=\,200t\)
...Solve for \(\displaystyle \L \;t\,\) and convert to minutes.
I get approximately 6.4 minutes.
