Question 421Navigation General70% to pass
The Light List indicates that a light has a nominal range of 18 miles and is 38 feet high. If the visibility is 6 miles and your height of eye is 15 feet, at which distance will you sight the light?
AI Explanation
The correct answer is C) 11.7 nm.
The formula to calculate the distance at which you will sight the light is:
Distance to Horizon (in nautical miles) = 1.17 x √(height of eye in feet) + 1.17 x √(height of light in feet)
Plugging in the given values:
Distance to Horizon = 1.17 x √(15 feet) + 1.17 x √(38 feet)
= 1.17 x 3.87 + 1.17 x 6.16
= 4.53 + 7.22
= 11.75 nm
Since the visibility is 6 miles (or 6 nm), the distance at which you will sight the light is 11.7 nm, which is the closest answer provided.
The other options are incorrect because they do not accurately calculate the distance to the horizon based on the given information.
Related Questions
#419 The Light List indicates that a light has a nominal range of 14 miles and is 26 feet high. If the visibility is 14 miles and your height of eye is 20 feet, at which approximate distance will you sight the light? #420 The Light List indicates that a light has a nominal range of 14 miles and is 26 feet high. If the visibility is 4 miles and your height of eye is 20 feet, at what approximate distance will you sight the light? #422 The Light List indicates that a light has a nominal range of 8 miles and is 48 feet(14.6 meters) high. If the visibility is 6 miles and your height of eye is 35 feet(10.7 meters), at what approximate distance will you sight the light? #423 Your height of eye is 40 feet (12.2 meters). What is the approximate geographical distance at which Ambrose Light, NY, could be visible? Refer to "Reprints from the LIGHT LISTS AND COAST PILOTS". #424 What is the approximate geographic range of Race Rock Light, NY, if your height of eye is 27 feet (8.2 meters)? Refer to "Reprints from the LIGHT LISTS AND COAST PILOTS".