Triangle xyz has sides xy = 3", yz = 4", and xz = 5". if angle y is a right angle, and side yz is opposite angle x, what is the tan of angle x?

Respuesta :

tan x = 4/3 will be the answer..

Answer:

[tex]\text{tan}(x)=\frac{4}{3}[/tex]

Step-by-step explanation:

Please find the attachment.

We have been given that triangle xyz has sides xy = 3", yz = 4", and xz = 5". The angle y is a right angle and side yz is opposite angle x. We are asked to find the [tex]\text{tan}(x)[/tex].  

We know that tangent represents relation between opposite and adjacent side of right triangle.

We can see that adjacent side of our given triangle is xy, so we will get:

[tex]\text{tan}(x)=\frac{yz}{xy}[/tex]

[tex]\text{tan}(x)=\frac{4}{3}[/tex]

Therefore, tan of angle x is [tex]\frac{4}{3}[/tex].

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