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10th Tamil Nadu Board
IMPORTANT
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The top of a 15 m high tower is observed from the bottom and the top on an electric pole with an angle of elevation of 60° and 30° respectively. If the height of the electric pole is p cm, find the value of p.

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Important Questions on Trigonometry

EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 1
From the top of a rock 503m high, the angle of depression of a car on the ground is observed to be 30°. If the distance of the car from the rock is k m, then find the value of k.
EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 2
The horizontal distance between two buildings is 70 m. The angle of depression of the top of the first building when seen from the top of the second building is 45°. If the height of the second building is 120 m, find the height of the first building.
MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 3
From the top of 60 m High tower, the angles of depression of the top and bottom of a vertical lamp post are observed to be 38° and 60° respectively. Find the height of the lamp post. tan 38°=0.7813, 3=1.732
MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 4
An aeroplane at an altitude of 1800 m finds that two boats are sailing towards it in the same direction. The angles of depression of the boats as observed from the aeroplane are 60° and 30° respectively. Find the distance between two boats. 3=1.732
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 5
From the top of a lighthouse, the angle of depression of two ships on the opposite sides of it are observed to be 30° and 60°. If the height of the lighthouse is h meters and the line joining the ships passes through the foot of the lighthouse, show that the distance between the ships is 4h3 m
MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 6
A lift in a building of height 90 feet with transparent glass walls is descending from the top of the building. At the top of the building, the angle of depression to a fountain in the garden is 60°. Two minutes later, the angle of depression reduces to 30°. If the fountain is 303 feet from the entrance of the lift, find the speed of the lift which is descending.
EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Thinking Corner>Q 1
What is the minimum number of measurements required to determine the height or distance or angle of elevation?
EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 6 - Trigonometry>Progress Check>Q 1
The line drawn from the eye of an observer to the point of object is the line of _____.