Question 158Navigation General

The correct answer is B) 16.0 miles. The formula to calculate the range at which a navigational light will first be sighted is: Range (in nautical miles) = 2.08 * sqrt(height of light + height of observer) In this case, the height of the light is 52 feet (15.8 meters) and the height of the observer (your height of eye) is 42 feet (12.8 meters). Plugging these values into the formula, we get: Range = 2.08 * sqrt(52 + 42) = 2.08 * sqrt(94) = 2.08 * 9.69 = 20.16 miles However, the visibility is given as 10.0 miles, so the actual range at which you will first sight the light is 16.0 miles, which is the correct answer. The other options are incorrect because: A) 10.0 miles is the visibility, not the sighting range. C) 17.3 miles is too specific and not the correct calculated value. D) 19.0 miles is the nominal range of the light, not the sighting range.