Question

Help 10 POINTS!!

Find x and y.

Answer 1

C

Explanation:

The diagonals of a square bisect the angles, thus

x = 0.5 × 90° = 45°

The sides of a square are congruent.

Using the sine ratio on the right triangle on the left and the exact value

sin45° =
`(1)/(√(2) )`, then

sin45° =
`(opposite)/(hypotenuse)` =
`(10.9)/(y)`

Multiply both sides by y

y × sin45° = 10.9, that is

y ×
`(1)/(√(2) )` = 10.9

Multiply both sides by
`√(2)`

y = 10.9
`√(2)`