Solution 4.2:1a

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Current revision (13:52, 8 October 2008) (edit) (undo)
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[[Image:4_2_1_a.gif|center]]
 
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The definition of the tangent states that
The definition of the tangent states that
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{| width="100%"
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| width="50%" align="center"|<math>\tan u=\frac{\text{opposite}}{\text{adjacent}}</math>
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<math>\tan u=\frac{\text{opposite}}{\text{adjacent}}</math>
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| width="50%" align="center"|[[Image:4_2_1_a.gif]]
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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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<math>\tan 27^{\circ }=\frac{x}{13}</math>
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which gives <math>x = 13\cdot \tan 27^{\circ}\,</math>.
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which gives
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<math>x=\text{13}\centerdot \text{tan 27}^{\circ }</math>.
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NOTE: Using a calculator, we can work out what
 
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<math>x\text{ }</math>
 
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should be:
 
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Note: Using a calculator, we can work out what ''x'' should be,
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<math>x=\text{13}\centerdot \text{tan 27}^{\circ }\approx 6.62</math>
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{{Displayed math||<math>x = 13\cdot\tan 27^{\circ} \approx 6\textrm{.}62\,\textrm{.}</math>}}

Current revision

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{.}