Respuesta :

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

Answer:

Step-by-step explanation:

 To find the size of YXZ we should use some trigonometry but first let's find the length of YZ

  • The Pythagorian theorem :

(XZ)²+(ZY)²=(YX)²

YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]

    =4[tex]\sqrt{29}[/tex]

We khow that sin(YXZ)=(YZ)/(YX)

                                        = 20/(4[tex]\sqrt{29}[/tex])

                                        = 5/[tex]\sqrt{29}[/tex]

  • using a calculator we get (YXZ)=  68°