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> 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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Some Applications of Trigonometry Questions

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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

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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.

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Answered on 11/01/2022 Learn CBSE/Class 10/Mathematics/UNIT V: Trigonometry/Some Applications of Trigonometry

6. A tower subtends an angle α at a point A in the place of its base and the angle of depression of the...
6. A tower subtends an angle α at a point A in the place of its base and the angle of depression of the foot of the tower at a point b ft. just above A is β. Prove that the height of the tower is b tan α cot β.

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Let CD is the height of the tower. ie, C is the bottom of the tower. Let AB is b ft. in trinagle ABC, (1) In triangle ACD, (2) From (1) and (2)/ therefore, read more

Let CD is the height of the tower. ie, C is the bottom of the tower.

Let AB is b ft. 

in trinagle ABC,

          (1)

In triangle ACD,

        (2)

From (1) and (2)/

therefore, 

 

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

10. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes...
10. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower at a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.

Sadika

Let's denote: h as the height of the tower. x as the horizontal distance between the tower and the initial position of the car. v as the speed of the car. Given: read more

Let's denote:

  • h as the height of the tower.
  • x as the horizontal distance between the tower and the initial position of the car.
  • v as the speed of the car.

Given:

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