Question

How do you do this???

Answer 1

x ≈ 39.2 , y ≈ 34.3

Explanation:

Using the sine and tangent ratios in the right triangle

sin29° =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(19)/(x)` ( multiply both sides by x )

x × sin29° = 19 ( divide both sides by sin29° )

x =
`(19)/(sin29)` ≈ 39.2 ( to 1 dec. place )

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

tan29° =
`(opposite)/(adjacent)` =
`(AC)/(BC)` =
`(19)/(y)` ( multiply both sides by y )

y × tan29° = 19 ( divide both sides by tan29° )

y =
`(19)/(tan29)` ≈ 34.3 ( to 1 dec. place )

Answer 2

By solving x and y

Explanation: