Multiple Choice Questions on Each side of a square subtends an angle of 60 deg at the tip of a tower of height h metres standing ........... for CDS Exam Preparation

Back to Main Page

Multiple Choice Questions

Each side of a square subtends an angle of 60 deg at the tip of a tower of height h metres standing ...........

Quantitative Aptitude (CDS) Coordinate Geometry
    Download Solution PDF

    Each side of a square subtends an angle of 60° at the tip of a tower of height h metres standing at the centre of the square. If I is the length of each side of the square, then what is h2 equal to?

     

    2l2

    Incorrect Answer

    l2 / 2

    Incorrect Answer

    3l2/2

    Correct Answer

    2l2/3

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Coordinate Geometry
    Prepare through Micro-courses
    Try Now
    Explanation:

    Diagonal of the square => AC2 = 2l2 (where l is the side of the square) AC = √2l

    AE (Base of the triangle formed by the vertex of the square with the tip of the tower) = ½AC = √2l/2

    Also, angle DAE = 60o

    In triangle ADE, tan 60 = h/(√2l/2)

    h= √2/2 * √3 * l

    h2 = (3/2) l2

    By: Munesh Kumari
    ProfileResources

    Let's Discuss

    Master
    Coordinate Geometry
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free