Question

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).

Find the length of X and Y please

Answer 1

y = 19.4

x = 14.1

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 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