Aptitude Topics
Angles of Elevation
The angle of elevation is the angle between the horizontal line of sight and the object when looking up at it.
Essential Formulation Tips
- The height of the observer's eye level must be added to the calculated height if the observer is not at ground level.
Example Breakdown: Measuring Height with Elevation
Problem QueryAn observer 1.5m tall looks up at the top of a tree 20m away at an angle of 30°. How tall is the tree?
Step-By-Step Solution Path
Calculate height above eye level: $\tan(30^{\circ}) = \frac{\text{Height}_{above}}{20}$.
$\text{Height}_{above} = 20 \times 0.577 = 11.54 \text{m}$.
Total tree height = $11.54 + 1.5 = 13.04 \text{m}$.
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