Find the value of each variable. please help this is overdue ​

x = 16√3

y = 8√3

Step-by-step explanation:

First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).

x = 24/cos(30)

(cos(30) is the same as √3/2)

x = 24/√3/2

Step 1: Multiply by 2/√3

x = (24 * 2)/√3

Step 2: Rationalize the denominator by multiplying by √3

x = √3(24 * 2)/√3 * √3

Step 3: √3 squared is 3.

√3(24 * 2)/3

Step 4: Multiply 24 by 2 to get 48.

x = √3(48)/3

Divide √3(48) by 3 to get 16√3

x = 16√3

Before we figure out y, we need to find you what 16√3 squared is.

((16(√3))²

Step 1: Expand the above equation.

16²(√3)²

Step 2: Square 16 to get 256.

256(√3)²

Step 3: √3 squared is 3.

256(3)

Step 4: Multiply 256 by 3 to get 768.

768

Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²

5.76 inches. You can round this if you want.

Step-by-step explanation:

14.4 divide by 2 is 5.76