Lighthouses Lower Lights
lighthouses lower lights
Determining the distance a ship is from two lighthouses?
Not sure how to do this...please help!!
The navigator of a ship at sea spots two lighthouses that she knows to be 3 miles apart along a straight seashore. She determines that the angles formed between two-line-of-sigh observations of the lighthouses and the line from the ship directly to shore are 15 degrees and 35 degress.
A.) How far is the ship from lighthouse A? (Side A up top)
B.)How far is the ship from light house B? (Side B down low)
C.) How far is the ship from shore? (Side C)
Thanks for any help.
Let d = perpendicular distance from shoreline
Draw the triangles:
d*tan35 - d*tan15 = 3
d = 6.94 miles
Distance to A = d/cos15 = 7.19
Distance to B = d/cos35 = 8.47
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The hand book of the lower Delaware River; ports, tides, pilots, quarantine stations, light-house service, life-saving and maritime reporting stations List Price: $21.75 Sale Price: $14.38  |
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With its bright light and working foghorn, the Lighthouse keeps ships safe in the harbor. Bulstrode the Barge also works nearby, blowing his horn as he passes below the bridge. Just push the roof to activate the light and hear sounds on The Lights & Sounds Lighthouse, and push the lever to raise and lower the drawbridge... |
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All of our products are of the highest quality. If you have any questions about fitment please contact us before ordering to assure satisfaction. |
