Question

To the nearest hundredth what is the value of X

Answer 1

Due To My Calculations, The Answer Is 90.16.

Answer 2

Hello!

The answer is:

The value of "x" is 90.16

Why?

To solve the problem we need to use the trigonometric identity of the sine that establish that:

`Sin(\alpha )=(OppositeSide)/(Hypotenuse)`

So, we are given the following information:

`\alpha =48(degrees)\\\\OppositeSide=67`

Then, applying the trigonometric identity, we have:

`Sin(48)=(67)/(Hypotenuse)`

`Sin(48)=(67)/(Hypotenuse)\\\\Hypotenuse=(67)/(sin(48))=90.157=90.16`

Hence, the value of "x" is (rounded to the nearest hundreth) 90.16.

Have a nice day!