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

Question

Paraphin [41]

2 years ago

10

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?

Mathematics

2 answers:

Liula [17] · Answer 1 · 2023-07-02T14:51:24+03:00

Liula [17]2 years ago

7 0

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

snow_lady [41] · Answer 2 · 2023-07-02T16:54:39+03:00

Answer:

$\text{tan}(x)=\frac{4}{3}$

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 $\text{tan}(x)$ .

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:

$\text{tan}(x)=\frac{yz}{xy}$

$\text{tan}(x)=\frac{4}{3}$

Therefore, tan of angle x is $\frac{4}{3}$ .