Q1
The angle formed when looking up at an object is called the angle of:
Aelevation
Bdepression
Creflection
Drefraction
CBSEClass 10 (CBSE)MathematicsCh 9 · Topic 1
Heights and Distances - Angle of Elevation
Learning to solve problems involving the angle of elevation.
Core concept
For example, if the angle of elevation to the top of a tower from a point 30m away is 30°, the tower's height can be calculated using tan(30°) = height/30, giving height = 30 × tan(30°) ≈ 17.3m. This practical application of trigonometry, called 'heights and distances,' is widely used in surveying, architecture, navigation, and even in everyday estimations, like judging how far away and how tall a building appears based on the angle at which you view it.
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• The angle of elevation is the upward angle from horizontal to a line of sight towards an object.
• Height calculations use tan(angle) = height/horizontal distance.
• Example: angle of elevation 30° from 30m away gives height ≈ 17.3m.
• This application, 'heights and distances,' is used in surveying, architecture, and navigation.