Question

What is the value of y?

Answer 1

Answer: $y=2\sqrt{3}$

Step-by-step explanation:

Apply:

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

Use the length and the angle given in the triangle of the left to calculate the adjacent side (which we will call x) of the triangle of the right:

$sin(45)=\frac{x}{2\sqrt{2}}\\x={2\sqrt{2}*sin(45)\\x=2$

Then you must substitute and solve for y:

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

$\alpha=60\°\\adjacent=2\\opposite=y$

$y=2*tan(60)=2\sqrt{3}$