Question

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°

Answer 1

Answer: 39.4°

Step-by-step explanation:

Given: In triangle XYZ,

$\angle XYZ = 90^{\circ}$, XY = 12.4 cm and YZ = 15.1 cm

Since, $tanZ = \frac{XY}{YZ}$

$\angle Z = tan^{-1}(\frac{XY}{YZ} )$

$\angle YZX = tan^{-1}(\frac{XY}{YZ} )$

$\angle YZX = tan^{-1}(\frac{12.4}{15.1} )$

$\angle YZX = tan^{-1}(0.82119205298)$

$\angle YZX = 39.3925680393\approx 39.4^{\circ}$

⇒ Second option is correct.