What is the value of x?

Question

asked May 7, 2021 115k views

1 Answer

Mallox · Answer 1 · 2021-05-12T03:56:23+0000

Answer:

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