GATE Exam > GATE Questions > A theodolite is set up at station A. The RL o...
Start Learning for Free
A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.
Correct answer is '257.363'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A theodolite is set up at station A. The RL of instrument axis is 212....
V = 400 tan 7° = 49.113
x = (49.113 – 4) = 45.113
RLB = 212.25 + 45.113 = 257.363 m
Most Upvoted Answer
A theodolite is set up at station A. The RL of instrument axis is 212....
To calculate the RL (Reduced Level) of station B, we need to use the angle of elevation and the length of the staff.
Given:
RL of instrument axis at station A = 212.250 m
Length of staff = 4 m
Angle of elevation = 7 degrees
We can use trigonometry to solve for the RL of station B.
Let's assume the RL of station B is RL_B.
Using the trigonometric relationship "tan(angle) = opposite/adjacent," we can write:
tan(7 degrees) = (RL_B - RL_A) / 4
Simplifying the equation, we have:
tan(7 degrees) = (RL_B - 212.250) / 4
To solve for RL_B, we can rearrange the equation:
RL_B - 212.250 = 4 * tan(7 degrees)
RL_B = 4 * tan(7 degrees) + 212.250
Using a calculator, we can find:
RL_B ≈ 4 * 0.122784 + 212.250
RL_B ≈ 0.491136 + 212.250
RL_B ≈ 212.741136
Therefore, the RL of station B is approximately 212.741 m.
Given:
RL of instrument axis at station A = 212.250 m
Length of staff = 4 m
Angle of elevation = 7 degrees
We can use trigonometry to solve for the RL of station B.
Let's assume the RL of station B is RL_B.
Using the trigonometric relationship "tan(angle) = opposite/adjacent," we can write:
tan(7 degrees) = (RL_B - RL_A) / 4
Simplifying the equation, we have:
tan(7 degrees) = (RL_B - 212.250) / 4
To solve for RL_B, we can rearrange the equation:
RL_B - 212.250 = 4 * tan(7 degrees)
RL_B = 4 * tan(7 degrees) + 212.250
Using a calculator, we can find:
RL_B ≈ 4 * 0.122784 + 212.250
RL_B ≈ 0.491136 + 212.250
RL_B ≈ 212.741136
Therefore, the RL of station B is approximately 212.741 m.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer?
Question Description
A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer?.
A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer?.
Solutions for A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer?, a detailed solution for A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? has been provided alongside types of A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is __________.Correct answer is '257.363'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup