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Cloud [144]
3 years ago
9

Find the given angle to the nearest degree.

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

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\°

cestrela7 [59]3 years ago
4 0

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.

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