Respuesta :

akposevictor

Answer:

19.7°

Step-by-step explanation:

The ∆ given is a right triangle. To find the reference angle, we would apply the trigonometric ratios formula.

5 is opposite to the reference angle, therefore 5 = opposite side

14 is adjacent to the reference angle, therefore, 14 = Adjacent side.

Trigonometric ratios formula to use would be:

[tex] tan \theta = \frac{opp}{adj} [/tex]

Plug in the values

[tex] tan \theta = \frac{5}{14} [/tex]

[tex] tan \theta = 0.3571 [/tex]

[tex] \theta = tan^{-1}(0.3571) [/tex]

[tex] \theta = 19.7 [/tex] (1 d.p)

The angle in degrees rounded to one decimal place for the given figure is 19.6°

We have to find the angle in degrees rounded to one decimal

Given in figure is a right triangle

Length of perpendicular = 5

Length of base = 14

Given in figure is angle [tex]\rm \theta[/tex]

We can write from figure that

[tex]\rm {tan \; \theta} = \dfrac{Perpendicular }{Base} \\tan\; \theta = \dfrac{5}{14} \\\theta = \tan^{-1}(5/14)\\\theta = 0.343 \; radian = 19.6\textdegree[/tex]

So the angle in degrees rounded to one decimal place for the given figure is 19.6°.

For more information please refer to the link given below

https://brainly.com/question/6322314