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UP Board Class 10 Introduction to Trigonometry — practice questions — page 3

Explore 67 free Introduction to Trigonometry questions in UP Board 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 61–67 of 67.

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 →

Worked practice questions

Looking up or looking down?

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Items
  1. Item
    Top of a tower
    Category
    Elevation
  2. Item
    A flying kite
    Category
    Elevation
  3. Item
    We raise our head
    Category
    Elevation
  4. Item
    Boat from a cliff
    Category
    Depression
  5. Item
    Below horizontal
    Category
    Depression
  6. Item
    We lower our head
    Category
    Depression
Categories
  1. Item
    Elevation
  2. Item
    Depression
Instructions
Tap a situation, then tap the angle it forms.
_Source: syllabus Maths Ch9 Applications of Trigonometry, 9.1 Heights and Distances_

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Key in the trigonometry answer

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Questions
  1. Answer
    45
    Question
    A tower casts a shadow equal to its own height. What is the angle of elevation in degrees?
  2. Answer
    30
    Question
    From a point 30 m away, a tower subtends 45 degrees. How tall is the tower in metres?
  3. Answer
    1
    Question
    What is the value of tan 45 degrees?
  4. Answer
    10
    Question
    A ladder makes 60 degrees with the ground and its foot is 5 m from the wall. How long is the ladder in metres?
Instructions
Work out each answer and key it in on the pad.
_Source: syllabus Maths Ch9 Applications of Trigonometry, 9.1 Heights and Distances_

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True or false: heights and distances

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Questions
  1. Statement is true
    Yes
    Statement
    The line of sight runs from the observer's eye to the point being viewed.
  2. Statement is true
    No
    Statement
    The angle of elevation is measured from the vertical.
  3. Statement is true
    Yes
    Statement
    When the object viewed is below the horizontal, the angle is one of depression.
  4. Statement is true
    Yes
    Statement
    We raise our head to look at an object that is above the horizontal level.
Instructions
Decide whether each statement about sight lines is true or false.
_Source: syllabus Maths Ch9 Applications of Trigonometry, 9.1 Heights and Distances_

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More Mathematics topics

Arithmetic ProgressionReal Numbers and PolynomialsStatistics and ProbabilityMensuration: Surface Areas & VolumesAlgebra: Simultaneous Linear Equations & QuadraticsTriangles and CirclesCoordinate GeometryQuadratic Equations