Question

Find the given angle to the nearest degree.

Answer 1

Answer:

$\alpha=44\°$

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:

$tan(\alpha) = \frac{opposite}{adjacent}$

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:

$tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96$

Finally

$\alpha =arctan(0.96)\\\\\alpha=44\°$

Answer 2

Answer:

Final answer is $?=44$ 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 :

$\tan\left(\theta\right)=\frac{opposite}{adjacent}$

$\tan\left(?^o\right)=\frac{48}{50}$

$\tan\left(?^o\right)=0.96$

$?=\tan^{-1}\left(0.96\right)$ degree

$?=43.830860672092581097187030418859$ degree

Hence final answer is $?=44$ degree.