Question

Find the values of x and y.
y
45

Answer 1

x =
`√(2)`

y = 2

Explanation:

By applying tangent rule in the given triangle,

tan(45°) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

1 =
`(√(2))/(x)`

x = √2

By applying sine rule in the given triangle,

sin(45°) =
`\frac{\text{Opposite side}}{\text{Hyotenuse}}`

`(1)/(√(2))=(√(2))/(y)`

y =
`(√(2))^2`

y = 2