Question

Find the value of the variables in the image above

Answer 1

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