Q. 14.1( 50 Votes )

In the following table, a ratio is given in each column. Find the remaining two ratios in the column and complete the table.


Answer :


For first column:



cosθ = 35/37


Adjacent side= 35,


Hypotenuse = 37


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


Opposite side2 = Hypotenuse2 - Adjacent2


= 372 - 352


= 1369 – 1225


Opposite side2 = 144


Opposite side = 12


For second column:



Opposite side = 11


Hypotenuse = 61


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


Adjacent2 = Hypotenuse2 - Opposite side2


= 612 - 112


= 3721 – 121


Adjacent2 = 3600


Adjacent side= 60


For third column:



Opposite side = 1


Adjacent side= 1


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


= 1 + 1


Hypotenuse2 = 2


Hypotenuse = √2


For fourth column:



Opposite side = 1


Hypotenuse = 2


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


Adjacent2 = Hypotenuse2 - Opposite side2


= 22 - 12


= 4 – 1


Adjacent2 = 3


Adjacent side= √3


For fifth column:



Adjacent side= 1


Hypotenuse = √3


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


Opposite side2 = Hypotenuse2 - Adjacent2


= (√3)2 - 12


= 3 – 1


Opposite side2 = 2


Opposite side = √2


For sixth column:



Opposite side = 21


Adjacent side= 20


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


= 212 + 202


Hypotenuse2 = 841


Hypotenuse = 29


For seventh column:



Opposite side = 8


Adjacent side= 15


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


= 82 + 152


Hypotenuse2 = 289


Hypotenuse = 17


For eighth column:



Opposite side = 3


Hypotenuse = 5


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


Adjacent2 = Hypotenuse2 - Opposite side2


= 52 - 32


= 25 – 9


Adjacent2 = 16


Adjacent side= 4


For ninth column:



Opposite side = 1


Adjacent side= 2√2


By Pythagoras Theorem


Hypotenuse2 = Opposite side2 + Adjacent2


= 12 + (2√2)2


Hypotenuse2 = 9


Hypotenuse = 3


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Foundation | Trigonometic RatioFoundation | Trigonometic RatioFoundation | Trigonometic Ratio38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses