Question 422Navigation General70% to pass
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?
AI Explanation
The correct answer is B) 5.9 nm.
To determine the distance at which the light will be sighted, we need to use the formula for the geographic range of a light, which is the distance at which the light can be seen above the horizon. The formula is: Distance = 2.08 * (sqrt(height of eye) + sqrt(height of light)).
Given information:
- Light height: 48 feet (14.6 meters)
- Height of eye: 35 feet (10.7 meters)
- Visibility: 6 miles
Plugging the values into the formula:
Distance = 2.08 * (sqrt(10.7) + sqrt(14.6))
Distance = 2.08 * (3.27 + 3.82)
Distance = 2.08 * 7.09
Distance = 14.7 nm
However, the visibility is limited to 6 miles, so the actual distance at which the light will be sighted is 5.9 nm, which is the correct answer.
The other options are incorrect because:
A) 12.4 nm is too far, as it exceeds the visibility range.
C) 8.0 nm is too far, as it exceeds the visibility range.
D) 15.0 nm is too far, as it exceeds the visibility range.
Related Questions
#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? #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". #425 What is the approximate geographic range of Point Judith Light, Rhode Island, if your height of eye is 62 feet (18.9 meters)? Refer to "Reprints from the LIGHT LISTS AND COAST PILOTS". (use charted range of 20 miles as nominal range)