14.14
a)
[tex]\frac{5}{y} = tg50^{o}\\\\tg50^{o} = 1,19\\\\\frac{5}{y} = 1,19\\\\1,19y = 5 \ \ /:1,19\\\\\underline{y = 4,2}\\\\\frac{5}{x} = sin50^{o}\\\\sin50^{o} = 0,766\\\\\frac{5}{x} =0,766\\\\0,766x = 5 \ \ /:0,766\\\\\underline{x = 6,53}\\\\\\P_{ABC} = \frac{1}{2}\cdot2y\cdot5\\\\P_{ABC} = 5y\\\\P_{ABC} = 5\cdot4,2\\\\\underline{P_{ABC} = 21}[/tex]
b)
[tex]\frac{x}{6} = sin40^{o}\\\\sin40^{o} = 0,643\\\\\frac{x}{6} = 0,643\\\\x = 6\cdot0,643\\\\\underline{x = 3,86}\\\\\frac{\frac{y}{2}}{6} = cos40^{o}\\\\cos40^{o} = 0,766\\\\\frac{y}{12} = 0,766\\\\y = 12\cdot0,766\\\\\underline{y = 9,19}\\\\\\P_{ABC} = \frac{1}{2}\cdot y\cdot x\\\\P_{ABC} = \frac{1}{2}\cdot9,19\cdot3,86\\\\\underline{P_{ABC} = 17,74}[/tex]
