Lösung 4.2:1e

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The definition of sine gives
The definition of sine gives
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{{Displayed math||<math>\sin 35^{\circ} = \frac{11}{x}</math>}}
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{{Abgesetzte Formel||<math>\sin 35^{\circ} = \frac{11}{x}</math>}}
and thus
and thus
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{{Displayed math||<math>x = \frac{11}{\sin 35^{\circ}}\quad ({} \approx 19\textrm{.}2)\,\textrm{.}</math>}}
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{{Abgesetzte Formel||<math>x = \frac{11}{\sin 35^{\circ}}\quad ({} \approx 19\textrm{.}2)\,\textrm{.}</math>}}

Version vom 08:50, 22. Okt. 2008

In the triangle, we seek the hypotenuse x, knowing the angle 35° and that the adjacent has length 11.

The definition of sine gives

\displaystyle \sin 35^{\circ} = \frac{11}{x}

and thus

\displaystyle x = \frac{11}{\sin 35^{\circ}}\quad ({} \approx 19\textrm{.}2)\,\textrm{.}