Question

Help me out .... Solve for x and y.

Answer 1

x=24 , y=8√3

Step-by-step explanation

The given triangle is a right triangle

To find x, we use the cosine ratio, given by:

`\cos(30 \degree) = (adjacent)/(hypotenuse)`

`\cos(30 \degree) = (x)/(16 √(3) )`

`( √(3) )/(2) = (x)/(16 √(3) )`

Solve for x,

`x = ( √(3) )/(2) * 16 √(3)`

`x = 8 * 3 = 24`

To find the value of x, we use the sine ratio:

`\sin(30 \degree) = (opposite)/(hypotenuse)`

`\sin(30 \degree) = (y)/(16 √(3) )`

`(1)/(2) = (y)/(16 √(3) )`

Solve for y to get,

`y = (1)/(2) * 16 √(3)`

`y = 8 √(3)`