Question

Anyone know? It’s Trigonometery

Answer 1

`x=24` and
`y = 12√(3)`

Explanation:

sinθ
`= (perpendicular)/(hypotenuse)`

sin60 =
`(√(3) )/(2)`

As per the diagram:
`sin60 = (y)/(x)`

∴
`(y)/(x) = (√(3) )/(2)`

Cross multiplying:

`2y = √(3)x`
y =
`(√(3)x )/(2)`

Using Pythagoras Theorem:

`x^2 = (12)^2 + y^2\\\\144 = x^2 - y^2\\\\and\\y = (√(3) x)/(2) \\\\Substituting:\\144 = x^2- ((√(3) x)/(2))^2\\\\144 = x^2 - (3x^2)/(4)\\ \\144 = (4x^2-3x^2)/(4) \\\\144*4 = x^2\\x^2 = 576 \\x=√(576)=24`

We know that
`y = (√(3)x)/(2)`

Substituting the above value of x in the equation:

`y = (24√(3))/(2) \\\\y = 12√(3)`

Thank You :)

Answer 2

x=24,y=3x12

Explanation: