Solution 4.2:1a

From Förberedande kurs i matematik 1

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The definition of the tangent states that


\displaystyle \tan u=\frac{\text{opposite}}{\text{adjacent}}


In our case, this means that


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


which gives \displaystyle x=\text{13}\centerdot \text{tan 27}^{\circ }.

NOTE: Using a calculator, we can work out what \displaystyle x\text{ } should be:


\displaystyle x=\text{13}\centerdot \text{tan 27}^{\circ }\approx 6.62