Question

Please help me on this problem !

Answer 1

x = 5 , y = 5
`√(3)`

Explanation:

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

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

sin30°=
`(opposite)/(hypotenuse)` =
`(x)/(10)` =
`(1)/(2)` ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° =
`(adjacent)/(hypotenuse)` =
`(y)/(10)` =
`(√(3) )/(2)` ( cross- multiply )

2y = 10
`√(3)` ( divide both sides by 2 )

y = 5
`√(3)`