contestada

Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22. Which equation could be used to solve for the length of XY?

Respuesta :

cjh3663

Answer:

XY = approx. 73.19

Step-by-step explanation:

sin(41)=opp/hyp

sin(41)= 22/XY

22sin(41) = XY

22sin(41) = 73.18877483

XY= 73.18877483

vijayhalder031

The length of XY will be 33.53.

Concept:

  • As ΔXYZ is a right-angle triangle, trignometric ratios can be used to find the missing length.
  • [tex]Sin\alpha = \frac{Oppsite side}{Hypotenuse}[/tex]

How to solve the given question?

  • As ΔXYZ is a right-angle triangle, Side XY will be the hypotenuse.
  • ∴ Sin Y =[tex]\frac{XZ}{XY}[/tex]
    ∴ sin 41° = [tex]\frac{22}{XY}[/tex]
    ∴ XY = [tex]\frac{22}{0.656}[/tex]
    ∴ XY = 33.53.

Thus the length of side XY is 33.53 .

Learn more about trigonometry here:

https://brainly.com/question/7331447

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