Respuesta :

luisejr77

Answer:

[tex]\alpha=44\°[/tex]

Step-by-step explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

[tex]tan(\alpha) = \frac{opposite}{adjacent}[/tex]

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

[tex]tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96[/tex]

Finally

[tex]\alpha =arctan(0.96)\\\\\alpha=44\°[/tex]

lublana

Answer:

Final answer is [tex]?=44[/tex] degree.

Step-by-step explanation:

Using given information in the picture, we need to find the missing value of angle "?"

Apply formula of tangent function which is :

[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(?^o\right)=\frac{48}{50}[/tex]

[tex]\tan\left(?^o\right)=0.96[/tex]

[tex]?=\tan^{-1}\left(0.96\right)[/tex] degree

[tex]?=43.830860672092581097187030418859[/tex] degree

Hence final answer is [tex]?=44[/tex] degree.

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