Geometry: Right Triangle Ratios
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which scale would typically represent small scale topographical maps?

  • 1 cm = 5 m
  • 1 cm = 1 km (correct)
  • 1 cm = 10 m
  • 1 cm = 100 m

1 cm = 10 m is considered a small scale.

False (B)

What is the walking step of a man considered in pacing or stepping for linear measurement?

2.5 ft or 80 cm

For engineering projects, the scale of a map typically varies from 1 cm = ______ m to 100 m.

<p>2.5</p> Signup and view all the answers

Match the following methods of linear measurement with their descriptions:

<p>Pacing = Using step length for measurement Direct Measurement = Using a tape measure or ruler Ranging Techniques = Ensuring straight lines between points Offset Measurements = Measuring perpendicular distances</p> Signup and view all the answers

Which of the following scales is not typically used for subdivision land plans?

<p>1 cm = 100 m (B)</p> Signup and view all the answers

Offset measurements involve measuring parallel distances from a baseline.

<p>True (A)</p> Signup and view all the answers

What scale is considered large scale in map terminology?

<p>1 cm = 10 m or less</p> Signup and view all the answers

For typical engineering applications, the scale range would include 1 cm = 2.5 m to ______ m.

<p>100</p> Signup and view all the answers

Which method is typically used to confirm the accuracy of measurements in surveying?

<p>Ranging Techniques (D)</p> Signup and view all the answers

Study Notes

Setting Right Angles

  • Right angles can be established using a 3:4:5 ratio triangle, where the sides measure 3m, 4m, and 5m.
  • Builder’s square or tri-square can be utilized to set a right angle effectively.
  • Cross-staff or optical square methods are also employed for establishing right angles.

Oblique Offset

  • An oblique offset is defined as any offset that is not perpendicular to the chain line.
  • Typically used when objects are far from the chain line or when setting a right angle is difficult.
  • For accurate positioning of a corner (point P), two points (a and b) are taken on the chain line and distances (ap and bp) are measured.

Zigzag Boundaries

  • Perpendicular offsets are necessary at each bend of a zigzag boundary to accurately represent its shape.
  • The offsets taken may vary irregularly due to the nature of the boundary.

Chain Line Crossing

  • When roads intersect with a chain line perpendicularly, the ages of the intersection points must be recorded.
  • For oblique crossings, ages of intersection points should be noted, with at least one offset taken on both sides of the intersection.
  • Additional offsets may be necessary based on road characteristics.

Dimension Measurement

  • For small buildings, corners are fixed using perpendicular or oblique offsets with direct measurements taken for other dimensions.
  • For large buildings, various scales apply:
    • Large Scale: 1 cm = 10 m or less
    • Medium Scale: 1 cm = 10 m to 100 m
    • Small Scale: 1 cm = 100 m or more

Choice of Scale of a Map

  • Typical engineering project scales range from 1 cm = 2.5 m to 100 m.
  • Small-scale topographical maps are usually at 1 cm = 1 km.
  • For land subdivision plans, a scale of 1 cm = 5 m to 50 m is commonly used.

Conventional Signs

  • Conventional signs are used in surveying to represent various features and details on maps.

Methods of Linear Measurement

  • Common methods for linear measurement include "Pacing or Stepping," where a man's average step is approximately 2.5 feet (80 cm).

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Surveying-I Unit -1 PDF

Description

This quiz focuses on the right triangle ratios, specifically the 3:4:5 triangle. Participants will explore the properties and applications of this geometric concept. Test your understanding of how these ratios apply to real-world scenarios and problem-solving in geometry.

More Like This

Use Quizgecko on...
Browser
Browser