Question

) In the figure (2) given below, AABC is right-angled at B. If AB = y units,
BC = 3 units and CA = 5 units, find
sin x°
y​

Answer 1

Given :-

:-AC= hypotenuse side = 5 units

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 units

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4 AB= 4 units

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4 AB= 4 unitssin x° = opposite side/ hypotenuse side

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4 AB= 4 unitssin x° = opposite side/ hypotenuse side = AB/AC

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4 AB= 4 unitssin x° = opposite side/ hypotenuse side = AB/AC = 4/5

:-AC= hypotenuse side = 5 unitsBC= adjacent side = 3 unitsBy using pythagoras therom(AB)^2 = (AC)^2 -(BC)^2 = 5^2-3^2 = 25-9(AB)^2 = 16 AB =√16 =4 AB= 4 unitssin x° = opposite side/ hypotenuse side = AB/AC = 4/5 sin x° = 0.8

sin x° = 0.8 I believe this anwer will be useful for you!

for clear reference verify the above photos.