Solution given:
[tex] \sin( \alpha ) = \frac{\sqrt{5} }{3}[/tex]
so
P=√5
h=3
b=[tex] \sqrt{3 {}^{2} - \sqrt{5} {}^{2} } [/tex]
b=2
so
[tex] \cos( \alpha ) = \frac{b}{h} = \frac{2}{3} [/tex]
Note
[tex] \alpha = 0[/tex]
b:⅔
Perpendicular=√5
Hypotenuse=3
Base
CosØ