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.

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