the diagonals of a rectangle are 25cm long and intersect at an angle of 32 degrees. Find the length of the sides of the rectangle.
Of course you made a sketch.
I see a triangle with sides 12.5 and 16 with a contained angle of 32°
use the cosine law to find the third side, which is the width of the rectangle.
then use Pythagoras , (you have the hypotenuse) to find the length of the rectangle.
show your steps in your reply post.