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

Otras preguntas

y do we eat chicken nuggets
There are 2.54 centimetres in 1 inch. There are 100 centimetres in 1 meter. To the nearest inch, how many inches are in 3 meters.
Solve: x +9< 12 Graph the solutions.
what is the unit of strain​
What did the author mean by "dam of lies" in this quote: "Once the dam of lies cracked, it quickly collapsed under the increasing flow of revelations that would
which of these is a general theme in a raisin in the sun
The ______ is between the stratosphere and the thermosphere. troposphere stratosphere mesosphere exosphere
According to the lesson the United States government is modeled on which of the following ancient governments?
Please list at least 2 strengths the Union had and what was their plan for using those strengths against the Confederacy during the Civil War?
What is the distance between points (7, 8) and (-3, 2)? Round to the nearest tenth.