Question

I don’t understand how to get x and y

Answer 1

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

$tan=\frac{opposite}{adjacent}$

Solve for opposite;

$opposite=adjacent*tan\\o=4*tan60\\o=6.9$

This is the value of y.

To find x, we can use the pythagorean theorem.

$c^2=a^2+b^2\\c=\sqrt{a^2+b^2} \\c=\sqrt{(4)^2+(6.9)^2} \\c=\sqrt{16+47.61}\\ c=\sqrt{63.61}\\ c=7.97$

7.97 ≅ 8.0