A lamp at the top of a lighthouse is visible just
above the horizon from a station at sea level. The
distance of the lamp from the station is 30 km. The
height of the lighthouse is
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Step-by-step explanation:
0000000000000000000.20km
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Step-by-step explanation:
Given A lamp at the top of a lighthouse is visible just above the horizon from a station at sea level. The distance of the lamp from the station is 30 km. The height of the lighthouse is
- Now the concept used is combined error due to curvature and refraction. So we have
- Error due to curvature is 0.07857 x d^2
- Error due to refraction is -0.01122 x d^2
- Combined error = curvature + refraction
- = d^2 (0.07857 – 0.01122)
- So combined error = 0.06735 x d^2 where d is the distance travelled on the surface of the earth.
- Also distance d = 3.855 x √h
- Or h = 0.06735 x d^2
- Given distance of the lamp from the station is 30 km.
- Height of the light house will be
- = 0.06735 x d^2
- = 0.06735 x 30^2
- = 0.06735 x 900
- = 60.615 m
Reference link will be
https://brainly.in/question/49564307
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