CBSE Class 10 Mathematics
Question 15 of 16
Some Applications of Trigonometry — Question Ex 9.1 Q13
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Question As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
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Mathematics | Introduction to TrigonometryWeb Content
CBSE Class 10 Introduction to Trigonometry — Complete Guide
Trigonometry is a high-weightage topic with Ch 8 + Ch 9 together carrying 12 marks. Identity proofs and complementary angle problems are board favourites.
Quick Revision: Key Concepts
- Ratios: sin = O/H, cos = A/H, tan = O/A (SOH-CAH-TOA)
- Standard values: sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2
- Complementary: sin(90°−A) = cos A, tan(90°−A) = cot A
- Identities: sin²A + cos²A = 1, 1 + tan²A = sec²A, 1 + cot²A = cosec²A
Most Important Questions
- Evaluate expressions using standard angle values
- Prove trigonometric identities (LHS = RHS)
- Find other ratios given one ratio
- Complementary angle simplification problems
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