Question 72Navigation General
70% to passThe Light List indicates that a light has a nominal range of 14 miles and is 42 feet high (12.8 meters). If the visibility is 6 miles and your height of eye is 20 feet (6.1 meters), at what approximate distance will you sight the light?
A
20.1 miles
B
10.0 miles
C
7.6 miles
D
6.0 miles
AI Explanation
The correct answer is B) 10.0 miles. The formula to calculate the distance at which a light can be sighted 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 values given: Distance to Horizon = 1.17 x √(20 ft) + 1.17 x √(42 ft) = 5.2 miles + 4.8 miles = 10.0 miles The other options are incorrect because: A) 20.1 miles is too far, as the visibility is only 6 miles. C) 7.6 miles is too close, as the calculated distance is 10.0 miles. D) 6.0 miles is too close, as the calculated distance is 10.0 miles.
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