In right triangle XYZ , the right angle is located at vertex cap y The length of line segment XY is 12 point 4 cm. The length of line segment YZ is 15 point 1 cm. Which is the approximate measure of angle YZX ?

For angle YZX, the opposite side is XY = 12.4 cm and the adjacent side is YZ = 15.1 cm. Use the tangent ratio: tan(angle YZX) = 12.4 ÷ 15.1 ≈ 0.821. Taking the inverse tangent gives an angle of about 39.4°, so the approximate measure is 39.4 degrees.

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