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The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. Find the height that would allow a person to see 50 kilometers.

Respuesta :

JcAlmighty
The answer is 0.20 km

The function is D(h) = 111.7 * √h,
where:
D(h) is the maximum distance that can be seen from a height h.

We have:
D(h) = 50 km
h = ?


D(h) = 111.7 * √h
50 = 111.7 * √h
50 / 111.7 = √h
0.45 = √h

Now square both sides of the equation:
0.45² = (√h)²
0.2025 = h
h ≈ 0.20 km

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