The value of the y coordinate of any point on the x axis is always 0.
<u><em>Explanation</em></u>
Suppose, the co ordinate of any point is
.
It means, the distance of the point from x-axis is '
' and distance from y-axis is '
'.
Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of '
' will be 0.
So, the value of the y coordinate of any point on the x axis is always 0.
Answer:
In the picture.
Step-by-step explanation:
I hope that it's a clear solution.
<h2>
Hello!</h2>
The answer is:
The value of "x" is 90.16
<h2>
Why?</h2>
To solve the problem we need to use the trigonometric identity of the sine that establish that:
![Sin(\alpha )=\frac{OppositeSide}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%28%5Calpha%20%29%3D%5Cfrac%7BOppositeSide%7D%7BHypotenuse%7D)
So, we are given the following information:
![\alpha =48(degrees)\\\\OppositeSide=67](https://tex.z-dn.net/?f=%5Calpha%20%3D48%28degrees%29%5C%5C%5C%5COppositeSide%3D67)
Then, applying the trigonometric identity, we have:
![Sin(48)=\frac{67}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%2848%29%3D%5Cfrac%7B67%7D%7BHypotenuse%7D)
![Sin(48)=\frac{67}{Hypotenuse}\\\\Hypotenuse=\frac{67}{sin(48)}=90.157=90.16](https://tex.z-dn.net/?f=Sin%2848%29%3D%5Cfrac%7B67%7D%7BHypotenuse%7D%5C%5C%5C%5CHypotenuse%3D%5Cfrac%7B67%7D%7Bsin%2848%29%7D%3D90.157%3D90.16)
Hence, the value of "x" is (rounded to the nearest hundreth) 90.16.
Have a nice day!