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CBSE Class 10 Introduction to Trigonometry — practice questions — page 3

Explore 131 free Introduction to Trigonometry questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Introduction to Trigonometry questions and exercises with answers

Showing questions 61–90 of 131.

A man on a 10 m cliff observes a boat at an angle of depression of 30 degrees. The distance of the boat from the foot of the cliff isRead the answer and worked solution →If the two lines represented by a pair of linear equations intersect at a single point, the pair hasRead the answer and worked solution →Match each sight-line termRead the answer and worked solution →Looking up or looking down?Read the answer and worked solution →Key in the trigonometry answerRead the answer and worked solution →True or false: heights and distancesRead the answer and worked solution →Match each average to its meaningRead the answer and worked solution →Match each trigonometric ratioRead the answer and worked solution →Which value is larger?Read the answer and worked solution →Tap every prime numberRead the answer and worked solution →Trigonometric ratios compare the sides of which triangle?Read the answer and worked solution →The side opposite the right angle is called the:Read the answer and worked solution →cosec A is the reciprocal of:Read the answer and worked solution →sec A is the reciprocal of:Read the answer and worked solution →cot A is the reciprocal of:Read the answer and worked solution →The symbol sin A is short for:Read the answer and worked solution →Is cos A the product of cos and A?Read the answer and worked solution →Which theorem gives the third side of a right triangle?Read the answer and worked solution →The word sine came into European texts from the word:Read the answer and worked solution →The cosine arose from the need to find the sine of the:Read the answer and worked solution →The value of tan 45 degrees is:Read the answer and worked solution →The value of sin 30 degrees is:Read the answer and worked solution →The value of cosec 30 degrees is:Read the answer and worked solution →An equation true for all values of the angle is called an:Read the answer and worked solution →The identity sec2 A minus tan2 A equals:Read the answer and worked solution →The identity cosec2 A equals 1 plus:Read the answer and worked solution →tan A can be written as sin A divided by:Read the answer and worked solution →If the sides about the right angle are 3k and 4k, the hypotenuse is:Read the answer and worked solution →Ratios are also defined for angles of measure 0 and:Read the answer and worked solution →Match the reciprocal ratioRead the answer and worked solution →

Worked practice questions

A man on a 10 m cliff observes a boat at an angle of depression of 30 degrees. The distance of the boat from the foot of the cliff is

  1. 10 m
  2. 10 (square root of 3) m
  3. 20 m
  4. 5 (square root of 3) m
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Correct answer: B. 10 (square root of 3) m

1. tan(30) = 10 / d. 2. d = 10 / tan(30) = 10 × (square root of 3) = 10 (square root of 3). 3. Hence the boat is 10 (square root of 3) m away. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

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If the two lines represented by a pair of linear equations intersect at a single point, the pair has

  1. a unique solution
  2. no solution
  3. infinitely many solutions
  4. exactly two solutions
Show answer and solution

Correct answer: A. a unique solution

1. The solution of a pair of linear equations is the point(s) common to both lines. 2. Two lines that intersect meet at exactly one point, giving **a unique solution**. 3. Such a pair is consistent. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables', §3.2_

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Match each sight-line term

Read exercise and reference answers
Matching pairs
  1. Left
    Line of sight
    Right
    Line from the eye to the point viewed
  2. Left
    Elevation angle
    Right
    Made with the horizontal, looking up
  3. Left
    Depression angle
    Right
    Made with the horizontal, looking down
Instructions
Tap a term on the left, then tap what it means.
_Source: syllabus Maths Ch9 Applications of Trigonometry, 9.1 Heights and Distances_

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