Question

What is the value of x?

Answer 1

x = 3 will be the answer.

Explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}` =
`(BC)/(AC)`

`(1)/(√(2))` =
`(BC)/(6√(2))`

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}` =
`(BD)/(BC)`

`(1)/(2)=(x)/(6)`

x =
`(6)/(2)`

x = 3