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A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case ?

Important Questions on Some Applications of Trigonometry

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10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 4
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. Find the height of the tower.
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 5
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.
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10th Assam Board
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 6
A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 7
From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively. Find the height of the tower.
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10th Assam Board
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 8
A statue 1.6 m tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 9
The angle of elevation of the top of a building from the foot of the tower is 30o and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.
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10th Assam Board
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 10
Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of the point from the poles.
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10th Assam Board
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MATHEMATICS Textbook for Class X>Chapter 9 - Some Applications of Trigonometry>Exercise 9.1>Q 11
A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the canal.
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