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CBSE BOARD PYQS · CHAPTER 09
Some Applications of Trigonometry
CBSE Most Repeated PYQs
Solve official CBSE Previous Year Board Questions (2015-2024) for Some Applications of Trigonometry. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
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If ratio of height of tower to shadow length is 1 : √3, angle of elevation of Sun is:
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Ladder leaning against wall makes angle 60° with ground. Foot is 9.5 m from wall. Length of ladder is:
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Angle of elevation of top of 100m high tower from a point 100m away from foot is:
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Assertion (A): Angle of elevation increases as the observer moves closer to the object. Reason (R): As distance from object decreases, angle subtended by object at eye increases.
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Assertion (A): Line of sight is line drawn from eye of observer to point in object viewed. Reason (R): Angle of depression is angle formed by line of sight with horizontal when object is below horizontal level.
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A circus artist is climbing a 20 m long rope tied from top of vertical pole to ground (angle 30°). Find height of pole.
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A tree breaks due to storm and broken top touches ground making angle 30° with ground. Distance from foot to top is 8m. Find tree height.
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Find angle of elevation of sun when shadow of pole is √3 times its height.
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A 1.5m tall boy looks at top of 30m tower from some distance. Angle changes from 30° to 60°. Find distance walked.
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From point on ground, angles of elevation of bottom & top of 20m high building transmission tower are 45° & 60°. Find tower height.
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From top of 7m high building, angle of elevation of top of cable tower is 60° and depression of foot is 45°. Find tower height.
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As observed from top of 75m high lighthouse, angles of depression of two ships are 30° and 45°. Find distance between ships.
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A straight highway leads to foot of tower. Man at top observes car at 30° depression. 6 seconds later depression is 60°. Find time to reach tower.
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Angles of elevation of top of tower from two points at distances 4m and 9m from base are complementary. Prove tower height is 6m.
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Case Study Scenario: A 1.2 m tall girl spots a balloon moving horizontally at height 88.2 m. Angle changes from 60° to 30°. Question: Find distance traveled by balloon during interval.
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Case Study Scenario: A statue 1.6 m tall stands on top of pedestal. From point on ground, angle of elevation of top of statue is 60° and top of pedestal is 45°. Question: Find height of pedestal.
5 Marks
An aeroplane at altitude 300m observes two ships on opposite sides of river at angles 45° and 60°. Find width of river.
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Angle of elevation of cloud from point 60m above lake is 30° and angle of depression of reflection is 60°. Find cloud height.
5 Marks