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What is the value of x?



Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =
m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

What Is The Value Of X Enter Your Answer As A Decimal In The Box Round Only Your Final Answer To The Nearest Tenth X M A Scalene Triangle U V W Side U V Is Labe class=

Sagot :

Clarch19idn

Answer:

x = 10.2 m

Step-by-step explanation:

law of sines:

sin 30° / x = sin 69° / 19

cross-multiply:

.5(19) = sin 69°x

x = .5(19) / sin 69°

x = 9.5/.934

x = 10.2

AshishdwivedilVTidn

The value of x with the help of sine law is 10.2 units.

What is Sine Law?

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

Here, Law of sines:

[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]

sin 30° / x = sin 69° / 19

1/2x =  sin 69° / 19

cross-multiply:

19/2 = sin 69°x

x = 9.5 / sin 69°

x = 9.5/0.934

x = 10.2

Thus, the value of x with the help of sine law is 10.2 units.

Learn more about Sine Law from:

https://brainly.com/question/17289163

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