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What is the value of x?

What is the value of x?-example-1
User Naydichev
by
7.6k points

1 Answer

5 votes

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

User Mallox
by
7.5k points

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