Find value of x find value of y

Question

asked Aug 17, 2022 129k views

1 Answer

Hardik Shah · Answer 1 · 2022-08-23T22:07:09+0000

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
and the value of y is 3.