Entrepreneur 6309

Renting a 1m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboard.

Correct answer:

x =  1578.3499 €

Step-by-step explanation:

$$\begin{gathered} m=780\cdot \frac{4}{12}=\frac{780\cdot 4}{12}=\frac{3120}{12}=260\text{Eur} \\ a=3\text{m} \\ A=34{}^{\circ } \\ \tan A=b/a \\ b=a\cdot \tan (A°\to \text{rad})=a\cdot \tan (A°\cdot \frac{\pi }{180})=3\cdot \tan (34°\cdot \frac{3.1415926}{180})=2.02353\text{cm} \\ S=a\cdot b=3\cdot 2.0235\doteq 6.0706{\text{m}}^2 \\ x=S\cdot m=6.0706\cdot 260=1578.3499\text{Eur} \end{gathered}$$

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