Sides of Right Angle Triangle
The value of x is 5*[tex]\sqrt{3}[/tex]. and y is 10
Step-by-step explanation:
As the base is given 5 cm
According to trigonometry
Tangent of an angle == height / base
Tan(∅) = h / b
Here b=5
And ∅= 60 degree
Therefore ,
Tan(60) = h / 5
⇒ h = 5* tan(60)
⇒ h= 5*[tex]\sqrt{3}[/tex]
In the diagram h is denoted by x
Thus the value of x is 5*[tex]\sqrt{3}[/tex].
According to trigonometry
cosine of an angle == base / hypotenuse
cos(∅) = b/h
Here b=5
And ∅= 60 degree
Therefore ,
Cos(60) = 5 / h
h = 5 / cos(60)
h = 5 / (1/2)
Here h is denoted by y
y = 5 * 2 = 10
Thus the value of y is 10
Hence the value of x is 5*[tex]\sqrt{3}[/tex]. and y is 10
