The cosine ratio for this question is 3/5. By simple formula
Cos(theta) = Base / Hypotenuse
Further Explanation:
In this example we has a right triangle, it has base named as XY, altitude as YZ and hypotenuse as XZ because XZ is in front of 90 degree.
Calculation:
We can simpley find out the cosine ration by simple method.
Data:
XY=? , YZ = 6 , XZ = 7.5
Solution:
We have to find the cosine ratio so the formula for cosine ratio is
Cos(theta) = Base / Hypotenuse.
Cos (Theta) = XY / XZ
Here XY is Base and XZ as Hypotenuse.
By putting the values:
Cos(Theta) = XY / 7.5 --------------(i)
Here we can get the value of XY by phethagoras theorem.
XZ2 = XY2 + YZ2
By putting the value if XZ and YZ respectively.
(7.5)2 = XY2 + (6)2
XY2 = (7.5)2 – (6)2
Taking square root on both sides
XY = 4.5
Put the values of XY in euation no (i)
Cos(Theta) = 4.5 / 7.5
Multiply by 2 on up and down
Cos(theta) = 9 / 15
Cos (Theta) = 3 / 5.
Answer Details:
Subject: mathematics
Level: Middle School
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Calculation:
Data:
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For further Evaluation:
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