Answer:
x is approximately 7.97 or 8.0
y is approximately 6.9
Step-by-step explanation:
We have a triangle:
side a = y
side b = 4
side c = x
We can use the trigonometric function tangent which relates opposite and adjacent sides of the triangle in respect with a certain angle.
In this case we'll be using angle of 60º
y is opposite to 60º and 4 is adjacent
[tex]tan=\frac{opposite}{adjacent}[/tex]
Solve for opposite;
[tex]opposite=adjacent*tan\\o=4*tan60\\o=6.9[/tex]
This is the value of y.
To find x, we can use the pythagorean theorem.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2} \\c=\sqrt{(4)^2+(6.9)^2} \\c=\sqrt{16+47.61}\\ c=\sqrt{63.61}\\ c=7.97[/tex]
7.97 ≅ 8.0
