Question

Find the value of x and y. Write your answers in simplest form

Answer 1

x
=
7
√
3
,
y
=
14 hopefully it’s correct stream Nicki

Answer 2

x = 16, y = 8
`√(3)`

Explanation:

Using the sine ratio in the right triangle and the exact value

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(8)/(x)` =
`(1)/(2)` ( cross- multiply )

x = 16

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

Using Pythagoras' identity in the right triangle

y² + 8² = 16²

y² + 64 = 256 ( subtract 64 from both sides )

y² = 192 ( take the square root of both sides )

y =
`√(192)` =
`√(64(3))` = 8
`√(3)`