mabelakruiz mabelakruiz
  • 14-06-2020
  • Mathematics
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Find the value of x and the value of y.

Find the value of x and the value of y class=

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ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 14-06-2020

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

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