Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A sailor standing on the deck ofship, just se...
Start Learning for Free
A sailor standing on the deck of ship, just sees the bottom of light house. If the height of the sailor’s eye and the light beam at light house, above the sea level are 9m and 25m respectively, what is the distance between the sailor and the lighthouse ? ____ km
(Important - Enter the numerical value only in the answer)
- a)11.565
Correct answer is '11.565'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A sailor standing on the deck ofship, just sees the bottom of lighthou...
When the sailor sees the bottom of light house.
Most Upvoted Answer
A sailor standing on the deck ofship, just sees the bottom of lighthou...
Is 6 feet and the height of the lighthouse is 120 feet, the distance between the sailor and the lighthouse can be calculated using trigonometry.
Let's call the distance between the sailor and the base of the lighthouse "x". We can form a right triangle with the height of the lighthouse as the hypotenuse, the distance "x" as the adjacent side, and the height of the sailor as the opposite side.
Using the tangent function, we can write:
tan(theta) = opposite/adjacent
tan(theta) = 6/x
Rearranging the equation, we get:
x = 6/tan(theta)
Now, we need to find the value of theta, which is the angle between the horizontal line passing through the sailor's eyes and the line connecting the sailor and the base of the lighthouse.
Since the sailor can only see the bottom of the lighthouse, we know that the angle of depression is 90 degrees. Therefore, the angle between the horizontal line and the line connecting the sailor and the base of the lighthouse is the complement of the angle of depression, which is:
theta = 90 - angle of depression
theta = 90 - 0
theta = 90 degrees
Substituting this value into the equation for "x", we get:
x = 6/tan(90)
x = 6/undefined
The tangent of 90 degrees is undefined, which means that the distance "x" is infinite. Therefore, the sailor is an infinite distance away from the lighthouse, which is not physically possible.
This problem highlights the importance of considering the limitations of mathematical models and the assumptions made in solving problems. In reality, the sailor would need to be a certain distance away from the lighthouse in order to see its bottom, and the angle of depression would be less than 90 degrees.
Let's call the distance between the sailor and the base of the lighthouse "x". We can form a right triangle with the height of the lighthouse as the hypotenuse, the distance "x" as the adjacent side, and the height of the sailor as the opposite side.
Using the tangent function, we can write:
tan(theta) = opposite/adjacent
tan(theta) = 6/x
Rearranging the equation, we get:
x = 6/tan(theta)
Now, we need to find the value of theta, which is the angle between the horizontal line passing through the sailor's eyes and the line connecting the sailor and the base of the lighthouse.
Since the sailor can only see the bottom of the lighthouse, we know that the angle of depression is 90 degrees. Therefore, the angle between the horizontal line and the line connecting the sailor and the base of the lighthouse is the complement of the angle of depression, which is:
theta = 90 - angle of depression
theta = 90 - 0
theta = 90 degrees
Substituting this value into the equation for "x", we get:
x = 6/tan(90)
x = 6/undefined
The tangent of 90 degrees is undefined, which means that the distance "x" is infinite. Therefore, the sailor is an infinite distance away from the lighthouse, which is not physically possible.
This problem highlights the importance of considering the limitations of mathematical models and the assumptions made in solving problems. In reality, the sailor would need to be a certain distance away from the lighthouse in order to see its bottom, and the angle of depression would be less than 90 degrees.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer?
Question Description
A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer?.
A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer?.
Solutions for A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer?, a detailed solution for A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? has been provided alongside types of A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A sailor standing on the deck ofship, just sees the bottom of lighthouse. If the height of the sailor’seye and the light beam at lighthouse, above the sea level are 9mand 25m respectively, what is thedistance between the sailor and thelighthouse ? ____ km(Important - Enter the numerical value only in the answer)a)11.565Correct answer is '11.565'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup