MathematicsChapter 8: Application of Trigonometry
Elevation To A Height
tan = opposite/adjacent = height/distance.
Learning objectives
- Define and explain elevation to a height.
- Apply elevation to a height to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
tan = opposite/adjacent = height/distance. String/ladder as hyp: use sin or cos. 70 deg, string 65 m: height = 65 sin 70.
Mathematical form
tan = opposite/adjacent
height = 65 sin 70.
Where / symbols
- Elevation To A Height
- tan = opposite/adjacent = height/distance. String/ladder as hyp: use sin or cos. 70 deg, string 65 m: height = 65 sin 70.
Relationship
- h = d tan theta
Overview
Learn the idea, then use it:
Core Understanding
tan = opposite/adjacent = height/distance. String/ladder as hyp: use sin or cos. 70 deg, string 65 m: height = 65 sin 70.
Examples tan for both legs · elevation from horizontal up · h = d tan theta · ELEVATION TO A HEIGHT: tan = opposite/adjacent = height/distance. String/ladder as hyp: use sin or cos. 70 deg, string 65 m: height = 65 sin 70
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — ELEVATION TO A HEIGHT
tan = opposite/adjacent = height/distance. String/ladder as hyp: use sin or cos. 70 deg, string 65 m: height = 65 sin 70.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge elevation to a height with a neighbouring idea that uses a different definition, rule, or method.
Key points
- tan for both legs
- elevation from horizontal up
- h = d tan theta
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Elevation To A Height
Sticky Notes · Quick Revision
Core Idea
- tan = opposite/adjacent = height/distance.
Key Points
- tan for both legs
- elevation from horizontal up
- h = d tan theta
Simple Check
- Explain elevation to a height in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge elevation to a height with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- tan = opposite/adjacent = height/distance.
- tan for both legs
- elevation from horizontal up
- h = d tan theta
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