Question

Find value of x
find value of y

Answer 1

Given:

A figure of a right triangle.

To find:

The value of x and value of y.

Solution:

In a right angle triangle,

`\sin \theta = (Opposite)/(Hypotenuse)`

`\cos \theta = (Base)/(Hypotenuse)`

In the given triangle,

`\sin (60^\circ)=(x)/(6)`

`(√(3))/(2)=(x)/(6)`

`(√(3))/(2)* 6=x`

`3√(3)=x`

And,

`\cos (60^\circ)=(y)/(6)`

`(1)/(2)=(y)/(6)`

`(1)/(2)* 6=y`

`3=y`

Therefore, the value of x is
`3√(3)` and the value of y is 3.