Question

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24cm. Angle ZXY measures 70.

Answer 1

draw (see attachment)

so we can see we might want to find YZ or XY

sin(70°)=opositeside/hypotnuse=YZ/24
cos(70°)=adjacentside/hypotonuse=XY/24

alrighty

sin(70°)=YZ/24
cos(70°)=XY/24

to solve for each side, multiply both sides of both by 24

24sin(70°)=YZ
24cos(70°)=XY

use your calculator
YZ≈22.5526 cm
XY≈8.20848 cm