Instructions: Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to label your triangle first with your reference angle)?

X=
Y=

y = 19.4  x = 14.1

Step-by-step explanation: Data

the opposite side to the angle 54° is y

the adjacent side to the angle 54° is x

the hypotenuse is 24 units in length

From definition:

sin(54°) = opposite/hypotenuse

Replacing with data and solving for y:

sin(54°) = y/24

sin(54°)*24 = y

19.4 = y

From definition:

cos(54°) = adjacent/hypotenuse

Replacing with data and solving for x:

cos(54°) = x/24

cos(54°)*24 = x

14.1 = x

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

there is no question content here, but you for the free points! : d