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:

$Sin(\alpha )=\frac{OppositeSide}{Hypotenuse}$

So, we are given the following information:

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

Then, applying the trigonometric identity, we have:

$Sin(48)=\frac{67}{Hypotenuse}$

$Sin(48)=\frac{67}{Hypotenuse}\\\\Hypotenuse=\frac{67}{sin(48)}=90.157=90.16$

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

Have a nice day!