Question

Find the value of the variables in the simplest form

Answer 1

x = 15
`√(3)` , y = 15

Explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° =
`(√(3) )/(2)` , cos60° =
`(1)/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(x)/(30)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 30
`√(3)` ( divide both sides by 2 )

x = 15
`√(3)`

---------------------------------------------------------

cos60° =
`(adjacent)/(hypotenuse)` =
`(y)/(30)` =
`(1)/(2)` ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

Answer 2

Explanation: