PYQs
Practise questions grouped by chapter and source year.
Practice questions are organised using the years and labels in our source collection. Work through the solutions with your teacher; these are not a complete official examination paper.
Practice question 1
Source year: 20253 marksTower height when angle of elevation 60° from 20m. [CBSE 2025]
Practice question 2
Source year: 20243 marksFrom 50m building, angles of depression 30° and 45°. [CBSE 2024]
Practice question 3
Source year: 20253 marksA tower stands vertically. From a point 20m from base, angle of elevation of top is 60°. Find height of tower. [CBSE 2025]
Practice question 4
Source year: 20243 marksFrom top of 50m high building, angles of depression of top and bottom of another building are 30° and 45°. Find height of other building. [CBSE 2024]
Practice question 5
Source year: 20232 marksA circus artist is climbing 20m long rope tied from top of vertical pole. If angle made by rope with ground is 30°, find height of pole. [CBSE 2023]
Practice question 6
Source year: 20222 marksThe shadow of tower is √3 times its height. Find angle of elevation of sun. [CBSE 2022]
Formulae
Revisit important relationships and quick revision formulae.
Height
h = d × tan θ
Angle of Elevation
Angle formed by line of sight with horizontal when looking UP at an object
Angle of Depression
Angle formed by line of sight with horizontal when looking DOWN at an object
Height and Distance
tan θ = Height/Distance\nsin θ = Height/Slant distance\ncos θ = Base distance/Slant distance
Derivations
Work through the reasoning behind key concepts.
Height from angle of elevation
Given: angle of elevation θ and distance from base d. In right triangle: tan θ = height/distance. Therefore: height h = d × tan θ. This is used to find heights of towers, buildings, etc.
Height of Object
Given: Angle of elevation θ, distance from base d\nIn right triangle: tan θ = h/d\nTherefore: Height h = d × tan θ
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