Question

I dont get any of this stuff

Answer 1

x = 19, y = 19
`√(3)`

Explanation:

Since the triangle is right, we can use the sine and cosine ratios to find x and y

note the exact values of cos60° =
`(1)/(2)` and

sin60° =
`(√(3) )/(2)`

cos60° =
`(adjacent)/(hypotenuse)` =
`(x)/(38)`

multiply both sides by 38

x = 38 × cos60° = 38 ×
`(1)/(2)` = 19

sin60° =
`(opposite)/(hypotenuse)` =
`(y)/(38)`

multiply both sides by 38

y = 38 × sin60° = 38 ×
`(√(3) )/(2)` = 19
`√(3)`