Question

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 .20 km, but how did they get that?

Answer 1

50 = 111.7 sqrt(h)

Answer 2

solve for h

Answer 3

Solve

\[50 = 111.7\sqrt{h}\]

Answer 4

divide, square

Answer 5

Since D(h) represents the maximum distance and they give you the maximum distance as 50, you substitute 50 for D(h) in your equation.