Wahl421
Wahl421 Wahl421
  • 25-04-2018
  • Mathematics
contestada

XYZ is a right triangle. If XY = 4, what is YZ?

A. 8
B. 8\sqrt{3}
C. 4\sqrt{3}
D. 16

XYZ is a right triangle If XY 4 what is YZ A 8 B 8sqrt3 C 4sqrt3 D 16 class=

Respuesta :

jaycas07
jaycas07 jaycas07
  • 01-05-2018
The Answer is D. 16. 
XZ = 8/sin 30
Answer Link
rejkjavik rejkjavik
  • 28-08-2018

We are given

angle(Z)=30

Let's assume angle (Z) as reference angle

so, opposite=XY=4

adjacent=YZ

so, we can use tan formula

[tex] tan(Z)=\frac{XY}{YZ} [/tex]

now, we can plug values

[tex] tan(30)=\frac{4}{YZ} [/tex]

[tex] YZ=\frac{4}{tan(30)} [/tex]

[tex] YZ=4\sqrt{3} [/tex]...............Answer

Answer Link

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