Skip to main content
Super TutorResources
Chapter 20 of 22
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Chapter Summary

Heights and Distances

ICSE · Class 10 · Mathematics

Summary of Heights and Distances for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.

41 questions27 flashcards5 concepts

Interactive on Super Tutor

Studying Heights and Distances? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A diagram illustrating the angle of elevation, showing an observer looking up at an object, with the line of sight and horizontal line forming the angle.
Super Tutor

Super Tutor has 5+ illustrations like this for Heights and Distances alone — flashcards, concept maps, and step-by-step visuals.

See them all

Overview

Heights and distances uses trigonometric ratios to find measurements that are difficult to take directly, such as the height of a building, tower, electric pole, telephone pole, tree, the width of a river, and the distance of a ship from a lighthouse. The chapter begins with the idea of an angle of

Key Concepts

When P is above the horizontal

When P is above the horizontal line OX, then angle POX is called the angle of elevation of P as seen from O. It is the angle formed by the line of sig

When Q is below the horizontal

When Q is below the horizontal line OX, then angle QOX is called the angle of depression of Q as seen from O. It is the angle formed by the line of si

The horizontal line OX is drawn

The horizontal line OX is drawn through the observation point O in the same vertical plane as the object. Angles of elevation and depression are measu

The object and the observation point

The object and the observation point must lie in the same vertical plane as the horizontal reference line for these angles to apply.

First make all possible right angles

First make all possible right angles. Then mark all given quantities and angles. If the figure has more than one triangle, assume the common side, oft

Learning Objectives

  • Understand the meaning of angle of elevation and angle of depression
  • Identify the horizontal line and observation point in a diagram
  • Use trigonometric ratios to solve 2-D problems involving heights and distances
  • Apply the working rule for right-angled triangle problems
  • Set up equations correctly when more than one right triangle is present

Frequently Asked Questions

What are the important topics in Heights and Distances for ICSE Class 10 Mathematics?
Heights and Distances covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Heights and Distances — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 41 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Heights and Distances

All 22 chapters — ICSE Class 10 Mathematics Chapter Summary

For serious students

Get the full Heights and Distances chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 10 Mathematics.

Try Super Tutor Free
Try the full chapter — Free