Answer:
∠ YZX ≈ 39.4°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan XYZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{12.4}{15.1}[/tex] , thus
∠ XYZ = [tex]tan^{-1}[/tex] ([tex]\frac{12.4}{15.1}[/tex] ) ≈ 39.4°
The approximate measure of angle YZX is 39.4°.
A triangle is classified as a right triangle when it presents one of your angles equal to 90º.
For solving this exercise, first, draw a right triangle with dimensions given in the question. See the attached image.
From the image, you can see that it is possible to apply the trigonometric ratios to solve this question. The exercise gives two sides (12.4 cm and 15.1 cm ). Therefore, you can find the approximate measure of angle YZX from the trigonometric ratio below:
[tex]tan (YZX)=\frac{opposite\;side\;angle}{adjacent\;side\;angle}= \frac{12.4}{15.1} =0.687\\ \\ Then,\\ \\ arctan(\frac{12.4}{15.1} )=39.4$^{\circ}$[/tex]
So, the answer is 39.4º.
Learn more about the trigonometric ratios here:
https://brainly.com/question/11967894
