Some Applications of Trigonometry
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Lines of Sight and Viewing Angles
Part of: Lines of Sight and Viewing Angles
A line of sight runs from an observer's eye to the viewed point. Looking above the horizontal forms elevation; looking below it forms depression.
Why it matters. Trigonometry lets people estimate heights and distances when direct measurement is difficult.
Try it in two minutes
- Draw a right-triangle model in words.
- Label the angle, horizontal distance and vertical height.
- Select the ratio and interpret the result in context.
Try at home. With an adult, estimate a safe object's height using its shadow and a simple similar-triangle setup.
Choosing Ratios for Heights and Distances
Part of: Choosing Ratios for Heights and Distances
Represent the situation as a right triangle. Tangent links vertical rise and horizontal distance; sine or cosine can use the line of sight as hypotenuse.
Why it matters. Trigonometry lets people estimate heights and distances when direct measurement is difficult.
Try it in two minutes
- Draw a right-triangle model in words.
- Label the angle, horizontal distance and vertical height.
- Select the ratio and interpret the result in context.
Try at home. With an adult, estimate a safe object's height using its shadow and a simple similar-triangle setup.
Solving Indirect Measurement Problems
Part of: Solving Indirect Measurement Problems
Trigonometric models can find heights and distances that are hard to measure directly. After solving a triangle, add or subtract observer height where the model requires it.
Why it matters. Trigonometry lets people estimate heights and distances when direct measurement is difficult.
Try it in two minutes
- Draw a right-triangle model in words.
- Label the angle, horizontal distance and vertical height.
- Select the ratio and interpret the result in context.
Try at home. With an adult, estimate a safe object's height using its shadow and a simple similar-triangle setup.
What your child will practise
- Choosing Ratios for Heights and Distances: Desert Quick Fire (Quick Fire)
- Lines of Sight and Viewing Angles: Explorer'S Map Quest (Collect the Answer)
- Lines of Sight and Viewing Angles: Space Quick Fire (Quick Fire)
- Solving Indirect Measurement Problems: Desert Puzzle (Clue Puzzle)
- Solving Indirect Measurement Problems: Number Quest (Collect the Answer)
- Quiz: Choosing Ratios for Heights and Distances (8 questions)
- Quiz: Lines of Sight and Viewing Angles (8 questions)
- Quiz: Solving Indirect Measurement Problems (8 questions)