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natka813 [3]
3 years ago
9

Find the degree measure of alpha to the nearest tenth of a degree.

Mathematics
2 answers:
slega [8]3 years ago
7 0
Tanα=y/x

α=arctan(y/x), we are given the point (3.2, 6.2) so:

α=arctan(6.2/3.2)°

α=arctan(1.9375)°

α≈62.7°  (to nearest tenth of a degree)
DerKrebs [107]3 years ago
7 0
\bf \begin{array}{rllll}
(3.2&,&6.2)\\
x&&y
\end{array}\\\\
-------------------------------\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{y}{x}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \frac{y}{x} \right)
\\\\\\
\theta =tan^{-1}\left( \frac{y}{x} \right)\implies \measuredangle \theta =tan^{-1}\left( \frac{6.2}{3.2} \right)

make sure your calculator is in Degree mode
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