Question

Find value of x and y

Answer 1

x = 17
`√(3)`, y = 34

Explanation:

Since the triangle is right use trig ratios to find x and y

note exact values sin30° =
`(1)/(2)`, tan30° =
`(1)/(√(3) )`

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

multiply both sides by y

y sin30° = 17 ( divide both sides by sin30° )

y =
`(17)/((1)/(2) )` = 34

tan30° =
`(opposite)/(adjacent)` =
`(17)/(x)`

multiply both sides by x

x tan30° = 17 ( divide both sides by tan30° )

x =
`(17)/((1)/(√(3) ) )` = 17
`√(3)`