Steps

Find the height between the two floors if you know that the number of steps between the two floors is 18, the gradient is 30º, and the step length is 28.6 cm. Report the result in centimeters to the nearest centimeter.

Final Answer:

x =  297 cm

Step-by-step explanation:

$$\begin{gathered} n=18 \\ \alpha =30°\to \text{rad}=30°\cdot \frac{\pi }{180}=30°\cdot \frac{3.1415926}{180}=0.5236=\pi /6 \\ a=28.6\text{cm} \\ \tan \alpha =\frac{x_1}{a} \\ {x}_1=a\cdot \tan \alpha =28.6\cdot \tan 0.5236\doteq 16.5122\text{cm} \\ x=n\cdot x_1=18\cdot 16.5122=297\text{cm} \end{gathered}$$

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