Question

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

What is the length of line segment XY? Round to the nearest tenth
'

Answer 1

Please see the attached file.

It is clear for the diagram attached to the file that we need to calculate XY adjacent to the angle 70.

So, we know

Cos70=XY/XZ  

It means,

XY= XZ* Cos70

XY=24*Cos70

XY=15.2