Question

Please answer this for me pleaseeeee

Answer 1

`\Huge\boxed{x=71.9}`

Explanation:

Hello There!

Once again we are going to use trigonometry to solve for x

Here are the Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length (58) and the adjacent side length (19)

this corresponds with tangent so once again we will be using tangent to solve for x

Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

`tan(x)=(58)/(19)\\(58)/(19) =3.052631579`

now we have

`tan(x)=3.052631579`

Once again we need to get rid of the tan

to do so we take the inverse of tan ( tan^-1) and apply it to each side

`arcsin^-^1(tan(x))=x\\arcsin^-^1(3.052631579)=71.86191784`

finally we round to the nearest tenth

we're left with x = 71.9