Respuesta :

Answer:

Answer:

  • x → 4.24
  • y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

For x :

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin(45 \degree) = \frac{x}{6} }} \\ \\ { \tt{x = 6 \times \sin(45 \degree) }} \\ { \tt{x = 4.24}}[/tex]

For y :

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( 45 \degree) = \frac{y}{6} }} \\ \\ { \tt{y = 6 \times \cos(45 \degree) }} \\ { \tt{y = 4.24}}[/tex]

Answer:

see below

Step-by-step explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

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