Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

Mathematics (Maths) Class 10

Class 10 : Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

The document Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
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SHORT ANSWER TYPE QUESTIONS

Q1. A tower stands vertically on the ground. From a point on the ground which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.

Sol. In the figure, AB is the tower,

∴ AB = h metres
In rt Δ ABC, we have:

Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

⇒  Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev    |∵ tan 60° = √3 and AB = 20 m

⇒ h = 20√3 metre
Thus, the height of the tower = 20√3 m.

Q2. The angle of depression of the top and the bottom of a 9 m high building from the top of a tower are 30° and 60° respectively. Find the height of the tower and the distance between the building and the tower.

Sol. Let AB represents the building and CD be the tower.

Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

∴ AB = 9 m

In right Δ BDC, we have:

Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

⇒  Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

In right Δ AEC, we have:

Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

Short Answer Type Questions- Some Applications of Trigonometry Class 10 Notes | EduRev

Thus, height of the tower = 13.5 m
Distance between the building and the tower = 7.8 m

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