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Applications of Trigonometry — Flashcards

Telangana Board · Class 10 · Mathematics

25 flashcards for Applications of Trigonometry (Telangana Board Class 10 Mathematics) to test yourself on key terms and facts.

45 questions25 flashcards8 formulas & key relations5 concepts

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25 Flashcards·
Angle of elevationAngle of depressionBasic height problemBroken tree problemFormula choiceAngle conceptTangent applicationSine application
Card 1Angle of elevation

A boy sees the top of a pole at an angle of elevation of 60° from a point 8 m away from the foot of the pole. Find the height of the pole.

Answer

Step 1: Use tan 60° = AB/OB. Step 2: Here, OB = 8 m and AB = height of pole = h. Step 3: tan 60° = h/8. Step 4: √3 = h/8. Step 5: h = 8√3 m. Answer: The height of the pole is 8√3 m.

Card 2Angle of depression

From a helicopter, Rajender observes a person on the ground at an angle of depression of 45°. If the helicopter is 500 m high, find the distance of the person from Rajender.

Answer

Step 1: Use sin 45° = OA/OB. Step 2: OA = 500 m and OB = distance from the person to Rajender = x. Step 3: sin 45° = 500/x. Step 4: 1/√2 = 500/x. Step 5: x = 500√2 m. Answer: The distance is 500√2 m.

Card 3Basic height problem

A tower stands vertically on the ground. From a point 15 m away from its foot, the angle of elevation of the top is 45°. Find the height of the tower.

Answer

Step 1: Use tan 45° = opposite/adjacent. Step 2: tan 45° = height/15. Step 3: 1 = height/15. Step 4: height = 15 m. Answer: The height of the tower is 15 m.

Card 4Broken tree problem

A tree was broken in a storm and the top touches the ground making a 30° angle with the ground. The distance between the foot of the tree and the point where the top touches the ground is 6 m. Find th

Answer

Step 1: Form a right triangle with the broken part. Step 2: Use tan 30° = opposite/adjacent. Step 3: tan 30° = height of the standing part / 6. Step 4: 1/√3 = height/6. Step 5: height of the standing …

Card 5Formula choice

A ladder of length x m leans against a wall making an angle of 60° with the ground. What trigonometric ratio is most useful to find the height reached by the ladder, and why?

Answer

Use sine. Step 1: The ladder is the hypotenuse. Step 2: The height reached on the wall is the opposite side. Step 3: Sine connects opposite and hypotenuse. Step 4: If the angle is 60°, then sin 60° = …

Card 6Angle concept

Why is the angle of elevation measured with the horizontal line and not with the vertical line?

Answer

The angle of elevation is the angle between the line of sight and the horizontal when the object is above eye level. This keeps the reference line the same in every problem, so triangles can be formed…

Card 7Tangent application

A boy observes the top of a pole at 60° from a point 8 m away. Find the height using the tangent ratio.

Answer

Step 1: Identify opposite side = height of pole = h. Step 2: Identify adjacent side = 8 m. Step 3: tan 60° = h/8. Step 4: √3 = h/8. Step 5: h = 8√3 m. Answer: 8√3 m.

Card 8Sine application

A person on the ground is seen from a helicopter at an angle of depression of 45°. If the helicopter height is 500 m, find the distance from the helicopter to the person.

Answer

Step 1: Use the right triangle formed by the helicopter, the ground person, and the vertical height. Step 2: Use sin 45° = opposite/hypotenuse. Step 3: 1/√2 = 500/x. Step 4: x = 500√2 m. Answer: 500√2…

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Frequently Asked Questions

What are the important topics in Applications of Trigonometry for Telangana Board Class 10 Mathematics?
Key topics in Applications of Trigonometry include Core ideas and basic terms, One-triangle problems and worked examples, Two-triangle problems and worked examples, Important solved results and facts to remember. Study these first, then practise questions on each for the Telangana Board Class 10 board exam.
How many flashcards are available for Applications of Trigonometry?
There are 25 flashcards for Applications of Trigonometry covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Applications of Trigonometry for the Telangana Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Applications of Trigonometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Telangana Board Class 10 Mathematics Flashcards

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