Solution 4.2:1e
From Förberedande kurs i matematik 1
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| + | In the triangle, we seek the hypotenuse ''x'', knowing the angle 35° and that the adjacent has length 11.  | ||
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[[Image:4_2_1_e.gif|center]]  | [[Image:4_2_1_e.gif|center]]  | ||
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| - | In the triangle, we seek the hypotenuse   | ||
| - | <math>x</math>, knowing the angle 35o and that the adjacent has length 11.  | ||
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The definition of sine gives  | The definition of sine gives  | ||
| - | + | {{Displayed math||<math>\sin 35^{\circ} = \frac{11}{x}</math>}}  | |
| - | <math>\sin 35^{\circ }=\frac{11}{x}</math>  | + | |
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and thus  | and thus  | ||
| - | + | {{Displayed math||<math>x = \frac{11}{\sin 35^{\circ}}\quad ({} \approx 19\textrm{.}2)\,\textrm{.}</math>}}  | |
| - | <math>x=\frac{11}{\sin 35^{\circ }}\quad   | + | |
Current revision
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{.} | 

