Question:
My trigonometry teacher gave us an extra credit assignment, asking us what the line of sight is for a lighthouse (i.e. how far out can the light actually be seen?)
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I can't seem to find it, and I figured some boating fans might know.
Answers:
If your eyes are this far from the ground (in feet)... ...the horizon is this far from you in miles (assuming the horizon is at sea level, with no obstructions in the way):
1 1.23
2 1.74
3 2.13
4 2.46
5 2.75
6 3.01
7 3.25
8 3.48
9 3.69
10 3.89
11 4.08
12 4.26
13 4.43
14 4.60
15 4.76
16 4.92
17 5.07
18 5.22
19 5.36
20 5.50
30 6.74
40 7.78
50 8.70
100 12.30
200 17.39
300 21.30
400 24.60
500 27.50
1000 38.90
2500 61.50
5280 (1 mile) 89.38
15,840 (3 miles) 154.80
52,800 (10 miles)282.63
Help! Does anyone here live on a boat?
How Did We Calculate This?
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For those who just have to know the formula for calculating this, it is:
1. Find the distance between your eyes and the ground.
2. Find the square root of that distance
3. Multiply that number times 1.23.
(If you want nautical miles, instead of standard miles, multiply by 1.17.)
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For example: Let's say your eyes are 6 feet from the sand at the water's edge. The square root of 6 is 2.449489742783. When you multiply 2.449489742783 times 1.23, you get 3.01, the number of miles to the horizon.
Ship designers! answer me this please!?
approx. 5 milesAnyone know what a GUDE does on the lakes?
The distance you can see a light house depends on the height of the light house and where you are standing. The higher up you are, the farther you can see. That is why they had the crows nest on the old sailing boats.Weather of course plays a part. That is why they needed the light house, fog. Here are a couple of examples from the US Light Lists which is a publication for mariners.Light house hight how far away it can be seen
25 ft 5.7 nautical miles
50 feet 8.1 nm
75 ft 9.9nm
100ft 11.4nm
125ft 12.8nm
150ft 14nm
200ft 16.2nm
250ft 18.1nm
300ft 19.8nm
350ft 21.4nm
400ft 22.9nm
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as a navy lookout on watch from the bridge wing of a destroyer tender (i am recollecting 20 years ) the heigth to the water was 100 ft, on a clear warm day we could see aprox 30 miles.where can i find photos/video of camp far west new years day 2006?
when the air temp is colder you can see farther.
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I am not sure how to find the answer but none of these are right. A 6ft tall person standing at the shore can see about 12 miles. A lighthouse is visible for x number of miles because of two factorsi) the height of the light
2) the intensity of the light.
The listing of a lighthouse on a chart shows the height of the lighthouse and the distance it can be seen from because of those factors.
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There are different ranges to consider when determining the visibility of a light. I suspect your teacher is asking for the geographic range of the light. You need to know height if the lens and use curvature of the Earth tables to determine range. If the question is "How far can you see the light", then you need to know height of eye of observer and height of lens. And, you need to know luminous range of light and atmospheric conditions. A light's intensity is not constant. A light becomes diffused over distance. A light can be seen farther on a moonless night than during evening twilight. Fog, haze, rain, and snow will affect visible range of light.More Questions & Answers ...
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