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Answer:
x=5
Step-by-step explanation:
You can use the 30-60-90 rule or trigonometry to solve this.
The 30-60-90 rules states...
Ex: short leg is 7 which means the long leg is [tex]7\sqrt{3}[/tex] and the hypotenuse is 14
Therefore if the hypotenuse is 10 then x (short leg) should be 5
Trigonometry also proves this...
Sine
Opposite
Hypotenuse
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent
We will use SINE since we are trying to find the leg opposite to the 30 degree angle and the hypotenuse is already given (10)
[tex]sin30=\frac{x}{10}\\sin30*10=x\\x=5[/tex]
(Use a calculator for this)