Lösung 4.2:1a

Aus Online Mathematik Brückenkurs 1

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K
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
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In our case, this means that
In our case, this means that
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{{Displayed math||<math>\tan 27^{\circ} = \frac{x}{13}</math>}}
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{{Abgesetzte Formel||<math>\tan 27^{\circ} = \frac{x}{13}</math>}}
which gives <math>x = 13\cdot \tan 27^{\circ}\,</math>.
which gives <math>x = 13\cdot \tan 27^{\circ}\,</math>.
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Note: Using a calculator, we can work out what ''x'' should be,
Note: Using a calculator, we can work out what ''x'' should be,
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{{Displayed math||<math>x = 13\cdot\tan 27^{\circ} \approx 6\textrm{.}62\,\textrm{.}</math>}}
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{{Abgesetzte Formel||<math>x = 13\cdot\tan 27^{\circ} \approx 6\textrm{.}62\,\textrm{.}</math>}}

Version vom 08:50, 22. Okt. 2008

The definition of the tangent states that

\displaystyle \tan u=\frac{\text{opposite}}{\text{adjacent}} Image:4_2_1_a.gif

In our case, this means that

\displaystyle \tan 27^{\circ} = \frac{x}{13}

which gives \displaystyle x = 13\cdot \tan 27^{\circ}\,.


Note: Using a calculator, we can work out what x should be,

\displaystyle x = 13\cdot\tan 27^{\circ} \approx 6\textrm{.}62\,\textrm{.}