Answer:
x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]
Step-by-step explanation:
solving for x
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]
do cross multiplication
[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]
[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]
root 2 and root 2 gets cancel.Then ,
x = 4
solving for y
take 60 degree as reference angle
using sin rule
sin 60 = opposite / hypotenuse
[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]
just now we found the value of x i.e 4 now substitute the value of x here.
[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]
do cross multiplication
[tex]2*4 = y * \sqrt{3}[/tex]
[tex]\frac{8}{\sqrt{3} } = y[/tex]
