Question

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Answer 1

3rd option

Explanation:

using the sine and cosine ratios for the 60° angle in the right triangle and the exact values.

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

cos60° =
`(adjacent)/(hypotenuse)` =
`(x)/(12)` =
`(1)/(2)` ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

and

sin60° =
`(opposite)/(hypotenuse)` =
`(y)/(12)` =
`(√(3) )/(2)` ( cross- multiply )

2y = 12
`√(3)` ( divide both sides by 2 )

y = 6
`√(3)`