Question

I dont know how to solve with an x inside the right triangle

Answer 1

35.5

Explanation:

We can solve using trigonometry

Remember SOHCAHTOA

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Here we want to find the angle "x"

We are given the length of the side opposite of angle x as well as the length of the adjacent

When dealing with opposite and adjacent we use tan

So we have tan(x) = opposite / adjacent

opposite = 5 and adjacent = 7

so tan(x) = 5/7

taking the inverse tan of both sides

we acquire x = 35.5

Answer 2

`35.5\degree`

EXPLANATION

We want to solve for x in the right triangle.

To do this, we have to apply trigonometric ratios SOHCAHTOA for right triangles. We will apply the tangent part:

`\tan x=\frac{\text{opposite}}{\text{adjacent}}`

Therefore, we have:

`\begin{gathered} \tan x=(5)/(7) \\ \tan x=0.7143 \\ \Rightarrow x=\tan ^(-1)(0.7143) \\ x=35.5\degree \end{gathered}`

That is the value of x.