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10th Meghalaya Board
IMPORTANT
Earn 100

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height 6 m. At a point on the plane, the angle of elevation of the bottom and top of the flag staff are 30° and 45° respectively. Find the height of the tower. Take 3=1.73

Important Questions on Some Applications of Trigonometry

MEDIUM
10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 35
A man in a boat rowing away from a light house 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in meters per minute. [Use 3=1.732]
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 37
A ladder that is 6 m long is leaning against the side of a building making an angle of 60° with the ground. Determine how far the ladder's base is from the building, and how far up it is on the building.
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 38
From the top of a tower situated at a distance of 60 metre from a house, the angle of elevation of the top of the house is 60° and the angle of depression of the bottom is 30°. Find the heights of the tower and house. (3=1.732)
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 39
If the angle of elevation of the sun changes from 45° to 60° the length of the shadow of a tower is decreased by 40 metre. Find the height of the tower. (3=1.732)
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 40
From one side of a river, the angle of elevation of the top of the tower on the opposite side is 45°. On going back 30 metre from the bank along the same straight line with the tower the angle of elevation becomes 30°. Find the breadth of the river.
HARD
10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 41
When the angle of elevation of sun is decreased from 60° to 30° the length of shadow of a rod is increased by 40 metre. What is the height of the rod?
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Some Applications of Trigonometry>Exercise>Q 42
From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30° and the angle of elevation of the top of a water tank is 45°. Find the depth of the tank.
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10th Meghalaya Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 9 - Solved Mathematics Paper-2>Exercise>Q 29

As observed from the top of a 100 m high light house from the sea level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. [Use 3=1.732]