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Pls help asap, have a great day

find, w: x: y: z:

Pls Help Asap Have A Great Day Find W X Y Z class=

Sagot :

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

  • Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenuse
  • cos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]
  • ⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]
  • ⇒ w = 3√2 and x = 3√2

Finding y

  • Take the cos ratio of the 60° angle to find y
  • cos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]
  • ⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

  • Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenuse
  • sin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]
  • ⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]
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