Question

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

Answer 1

x = 5√2

y = 15

Explanation:

By applying sine rule in the given right triangle,

sin(60°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

`(√(3) )/(2)=(y)/(10√(2))`

y =
`(√(3) * 10√(2) )/(2)`

y = 15

Similarly, by applying cosine rule in the given triangle,

cos(60°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

`(1)/(2)=(x)/(10√(2))`

x = 5√2