Question

Question 4 Use the figure below to find the value of x and y

Answer 1

Answer:

$x=4, y=8$

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

$cos(30\°)=\frac{4\sqrt{3}}{y}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

so

$\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}$

Simplify

$y=8\ units$

step 2

Find the value of x

In the right triangle of the figure

$sin(30\°)=\frac{x}{8}$

Remember that

$sin(30\°)=\frac{1}{2}$

so

$\frac{1}{2}=\frac{x}{8}$

$x=4\ units$