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in 30 degree angle find x and y. if x=opposite y =adjacent and root 3=hypotenuse?
Yunud
13 Nov, 2020
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x+y=180o−90o. x+y=90o. That is, the sum of the two acute angles in a right ... Using the cosine function you can solve for c , the hypotenuse.
Hypothenuse= 3
Opposite= x
Adjacent= y
Angle= 30°
From SOHCAHTOA,
Opposite / Hypothenuse= x/3 = sin(30°)
x= 3sin30°
x= 3 × ½= 3/2= 1.5
Also, from Pythagoras theorem,
(Hypothenuse)²= (Opposite)² + (Adjacent)²
3²= x² + y²
9= (3/2)² + y²
y²= 9 - 9/4= (36 - 9)/4= 27/4
y= √(27/4)= (3√3)/2= (3/2)√3.
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