What is the value of the variables? q.4

Sides of Right Angle Triangle

The value of  x is 5*. 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*

In the diagram h is denoted by x

Thus the value of x is 5*.

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*. and y is 10

step-by-step :