If a person's eye level is h meters above sea level and she can see d kilometers to the horizon, then d=3.6√h Suppose the person can see 22.5 kilometers to the horizon. What is the height of her eye level above sea level?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
Given the formula d=3.6√h, we can plug in the value of d=22.5 kilometers:
22.5 = 3.6√h
Divide both sides by 3.6:
6.25 = √h
Square both sides:
39.0625 = h
Therefore, the height of her eye level above sea level is approximately 39.1 meters.