Question

Find the values of X and Y​

Answer 1

see explanation

Explanation:

Using the exact values of the trigonometric ratios

sin30° =
`(1)/(2)`, cos30° =
`(√(3) )/(2)`

Then

sin30° =
`(opposite)/(hypotenuse)` =
`(17)/(y)` =
`(1)/(2)`

Cross- multiply

y = 2 × 17 = 34

cos30° =
`(adjacent)/(hypotenuse)` =
`(x)/(y)` =
`(x)/(34)` and

`(x)/(34)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 34
`√(3)` ( divide both sides by 2 )

x = 17
`√(3)`

Hence

x = 17
`√(3)` and y = 34