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Mathematics > UNIT V: Trigonometry > Learn Some Applications of Trigonometry

Some Applications of Trigonometry

Some Applications of Trigonometry relates to CBSE - Class 10/Mathematics/UNIT V: Trigonometry

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Answered on 17/04/2024 Learn CBSE - Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

1. The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation...
1. The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If the tower is 50 m high, what is the height of the hill?

Sadika

Let's denote the height of the hill as hh meters. We can set up a right triangle to represent the situation. From the given information: The angle of elevation of the top of the hill from the foot of the tower is 60 degrees. The angle of elevation of the top of the tower from the foot of the hill is... read more

Let's denote the height of the hill as hh meters. We can set up a right triangle to represent the situation.

From the given information:

  1. The angle of elevation of the top of the hill from the foot of the tower is 60 degrees.
  2. The angle of elevation of the top of the tower from the foot of the hill is 30 degrees.
  3. The height of the tower is 50 meters.

In the right triangle formed by the hill, tower, and the ground, the height of the hill, the height of the tower, and the distance from the foot of the tower to the foot of the hill form the sides of the triangle.

Using trigonometric ratios, we can set up equations based on the given angles and the known side lengths:

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Answered on 06/01/2022 Learn CBSE - Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

2. A bridge across the river makes an angle of 45° with the river bank. If the length of the bridge across...
2. A bridge across the river makes an angle of 45° with the river bank. If the length of the bridge across the river is 150 m, what is the width of the river?

Jaisna

Maths online tuition for class 5 to 12.

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Answered on 06/01/2022 Learn CBSE - Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

3. There is a small island in the middle of a 100 m wide river and a tall tree stands on the island....
3. There is a small island in the middle of a 100 m wide river and a tall tree stands on the island. P and Q are the points directly opposite to each other on the two banks, and in a line with the tree. If the angles of elevation of the top of the tree from P and Q are 30° and 45° respectively, find the height of the tree.

Jaisna

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Answered on 17/04/2024 Learn CBSE - Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

4. From a point 20m away from the foot of a tower, the angle of elevation of the top of the tower is...
4. From a point 20m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower.

Sadika

To find the height of the tower, we can use trigonometry. read more

To find the height of the tower, we can use trigonometry.

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Answered on 17/04/2024 Learn CBSE - Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

5. A flagstaff stands at the top of a 5m high tower. From a point on the ground, the angle of elevation...
5. A flagstaff stands at the top of a 5m high tower. From a point on the ground, the angle of elevation of the top of the flagstaff is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the flagstaff.

Sadika

Let's denote the height of the flagstaff as h meters. read more

Let's denote the height of the flagstaff as h meters.

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