1.20 - Trigonometrical Levelling
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Practice Questions
Test your understanding with targeted questions
What is trigonometrical levelling?
💡 Hint: Consider the relationship between angles and measurement distances.
What is the formula to find height using the vertical angle?
💡 Hint: Remember the meanings of D and α.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is trigonometrical levelling primarily used for?
💡 Hint: Think about surveying techniques.
True or False: The vertical angle is measured from the object to the horizontal plane.
💡 Hint: Reconsider the angle measurements’ direction.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A building stands at the top of a hill 150m away. If the vertical angle to its peak is 45 degrees, what is the height of the building? Assume your instrument is 1.5m high.
💡 Hint: Be mindful of the distances and angle used for calculations.
Two surveyors set positions A and B on flat ground with a distance of 50m between them. From A, they measure an angle of elevation of 40 degrees to the top of a hill; from B, they measure 30 degrees. Calculate the height of the hill above BM, considering the base elevation of 20m.
💡 Hint: Use trigonometric identities to relate angles and distances for finding heights.
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