Answer:
8 x = 60.10251159
9 x = 3.66062978
Step-by-step explanation:
Hey There!
So to answer these questions we need to use the Law of sines
Consider the following image
So to find x in number 8 we setup an equation
![\frac{x}{sin90} =\frac{48}{sin53}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin90%7D%20%3D%5Cfrac%7B48%7D%7Bsin53%7D)
now we solve for x
step 1 multiply each side by sin 90
now we have
![x = \frac{48sin90}{sin53}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B48sin90%7D%7Bsin53%7D)
if you plug the equation in a calculator you get that
x=60.10251159
<u>( make sure if it says to round to the nearest.... that you round before entering your answer)</u>
For number 9 the equation would be
![\frac{9}{sin90} =\frac{x}{sin24}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7Bsin90%7D%20%3D%5Cfrac%7Bx%7D%7Bsin24%7D)
now we solve for x
step 1 multiply each side by sin 24
now we have
![x=\frac{9sin24}{sin90}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9sin24%7D%7Bsin90%7D)
if you plug this into a calculator you get that
x = 3.66062978
<u>(once again if it says to round to the nearest... make sure you round before you put in your answer.)</u>