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Find the value of the variables in the image above

Find the value of the variables in the image above-example-1

1 Answer

4 votes

Answer:

x = 8
√(3) , y = 8

Explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° =
(√(3) )/(2) , cos60° =
(1)/(2)

sin60° =
(opposite)/(hypotenuse) =
(x)/(16) =
(√(3) )/(2) ( cross- multiply )

2x = 16
√(3) ( divide both sides by 2 )

x = 8
√(3)

----------------------------------------------------------

cos60° =
(adjacent)/(hypotenuse) =
(y)/(16) =
(1)/(2) ( cross- multiply )

2y = 16 ( divide both sides by 2 )

y = 8

User Doris
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