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in angle 60 degree find x and y. if x =hypotenuse y =adjacent and 3= opposite?
Yunud
14 Nov, 2020
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Robert01
5 years ago
Hypothenuse= x
Opposite= 3
Adjacent= y
Angle= 60°
From SOHCAHTOA,
Opposite/Hypothenuse= 3/x = sin 60°
x= 3/(sin 60°) = 3/(½(√3))= 6/√3= 2√3
Also, from Pythagoras theorem,
(Hypothenuse)²= (Opposite)² + (Adjacent)²
x²= 3² + y²
(2√3)²= 9 + y²
y²= 12 - 9= 3
y= √3.
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