Question

Find the length of the side “x” and “y”

Answer 1

Option D

Explanation:

From the figure attached,

Measure of the opposite side = 17

Measure of the adjacent side =
`x`

Measure of the hypotenuse =
`y`

Measure of the angle =
`30^0`

By applying sine rule in the given right triangle,

sin(30°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

`(1)/(2)=(17)/(y)`

`y=34`

By applying cosine rule in the given triangle,

cos(30°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

`(√(3))/(2)=(x)/(y)`

`(√(3))/(2)=(x)/(34)`

`x=17√(3)`

Therefore, Option D will be the answer.