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question 8 5 pts find the angle measure to the nearest degree. tan w = …

Question

question 8
5 pts
find the angle measure to the nearest degree.
tan w = 19.0811
w=

Explanation:

Step1: Recall inverse - tangent formula

We know that if $\tan W = x$, then $W=\arctan(x)$. Here $x = 19.0811$, so $W=\arctan(19.0811)$.

Step2: Calculate the angle

Using a calculator in degree - mode, $W=\arctan(19.0811)\approx87^{\circ}$ (rounded to the nearest degree).

Answer:

$87^{\circ}$