Question

Find the value of x and the value of y. 60 30 6

Answer 1

• The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

• The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

• The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

`\large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}`

• Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

`\large{ \tt{❁ \: sin \: 60 \degree = (perpendicular)/(hypotenuse) }}`

`\large{ \tt{➝ \: ( √(3) )/(2) = (6)/(y) }}`

`\large{ \tt{➝ √(3)y = 6 * 2 }}`

`\large{ \tt{➝ \: √(3) \: y = 12 }}`

`\large{ \tt{➝ \: y= (12)/( √( 3) ) }}`

`\boxed{ \large{ \tt{➝ y = \: 4 √(3) }}}`

`\large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} :`

• Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

`\large{ \tt{❊ \: sin \: 30 \degree = (perpendicular)/(hypotenuse) }}`

`\large{ \tt{⟶ \: (1)/(2) = (x)/(4 √(3) ) }}`

`\large{ \tt{⟶ \: 2x = 4 √(3) }}`

`\large{ \tt{⟶ \: x = (4 √(3) )/(2) }}`

`\boxed{\large{ \tt{⟶ \: x = 2 √(3) }}}`

`\boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 √(3) \: \: y = 4 √(3) }✓}}}`

• And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

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