Step-by-step explanation:
14) sin45 = x/6 ---> x = 6sin45 = 4.24
cos45 = y/6 ---> y = 6cos45 = 4.24
15) Use sine law to solve for x, y and z.
[tex] \frac{x}{sin45} = \frac{25 \sqrt{2} }{sin60} \\ x = 25 \sqrt{2} \frac{sin45}{sin60} = 25 \sqrt{2} \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{3} }{2} } \\ = \frac{50}{3} \sqrt{3} [/tex]
[tex]cos60 = \frac{y}{ \frac{50}{3} \sqrt{3} } \\ y = ( \frac{50}{3} \sqrt{3} )cos60 = ( \frac{50}{3} \sqrt{3} ) (\frac{ \sqrt{3} }{2} ) \\ y = 25 [/tex]
[tex]cos45 = \frac{z}{25 \sqrt{2} } \\ z = (25 \sqrt{2} )cos45 = (25 \sqrt{2} )( \frac{ \sqrt{2} }{2} ) \\ = 25[/tex]
