Question 419Navigation General70% to pass
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?
AI Explanation
The correct answer is B) 11.2 miles.
The formula to calculate the distance to the horizon based on the height of the light and the height of the observer's eye is:
Distance to horizon (in nautical miles) = 2.08 x sqrt(height of light in feet) + 1.15 x sqrt(height of eye in feet)
Plugging in the values provided:
Height of light = 26 feet
Height of eye = 20 feet
Distance to horizon = 2.08 x sqrt(26) + 1.15 x sqrt(20) = 11.2 miles
The other options are incorrect because:
A) 7.5 miles is too short
C) 14.0 miles is the nominal range of the light, not the distance it can be sighted
D) 18.1 miles is too long based on the given heights and visibility.
Related Questions
#417 The Light List indicates that a light has a nominal range of 20 miles and is 52 feet high. If the visibility is 12.0 miles and your height of eye is 20 feet, at what approximate distance will you sight the light? #418 The Light List shows that a navigational light has a nominal range of 6 miles and a height above water of 18 feet (5.5 meters). Your height of eye is 47 feet (14.3 meters) and the visibility is 1.5 miles. At what approximate range will you first 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? #421 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? #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?