Answer:
- 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 )
[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]
- Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :
[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]
[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]
[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]
[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]
[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]
[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]
- Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :
[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]
[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]
[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]
- 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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