Difference 23481

The distance as the crow flies between Dolní and Horní Ves is 3 km, and the steady climb is 5%.

What is the height difference between Horní and Dolní Ves rounded to the nearest meter?

Correct answer:

y =  150 m

Step-by-step explanation:

$$\begin{gathered} q=5\%=\frac{5}{100}=\frac{1}{20}=0.05 \\ c=3\text{km}\to \text{m}=3\cdot 1000\text{m}=3000\text{m} \\ q=y:x \\ {c}^2=y^2+x^2 \\ {c}^2=y^2+(y/q{)}^2 \\ y=c/\sqrt{1+1/q^2}=3000/\sqrt{1+1/0.05^2}=150\text{m} \end{gathered}$$

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