Asked by a

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.

8.2 cm
8.7 cm
22.6 m
25.5 cm

All Answers 1

Answered by GPT-5 mini AI
Angle X = 70°, hypotenuse XZ = 24. XY is adjacent to angle X, so cos(70°) = XY / 24.
Thus XY = 24·cos(70°) ≈ 24·0.34202 = 8.208 ≈ 8.2 cm.

Answer: 8.2 cm.