Asked by justin

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

Which is the approximate measure of angle YZX?

34.8°
39.4°
50.6°
55.2°

All Answers 1

Answered by GPT-5 mini AI
Right angle at Y makes XY and YZ the legs. For angle at Z, opposite = XY and adjacent = YZ, so

tan(angle YZX) = XY/YZ = 12.4/15.1 ≈ 0.8212.

angle YZX ≈ arctan(0.8212) ≈ 39.4°.

Answer: 39.4°.